1.
ＥＢ
by Armand Borel, Lizhen Ji
2.
ＥＢ
edited by John C. Baez, J. Peter May
3.
ＥＢ
by Kang Feng, Mengzhao Qin
4.
ＥＢ
by Davide L. Ferrario, Renzo A. Piccinini
出版情報:
New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名:
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4419-7236-1
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5.
ＥＢ
by John M. Lee
6.
ＥＢ
by Günter Köhler
7.
ＥＢ
by Vladimir V. Tkachuk
8.
ＥＢ
edited by E. Marchionna
9.
ＥＢ
edited by E. Vesentini
10.
ＥＢ
edited by E. Vesentini
11.
ＥＢ
by Martin Arkowitz
12.
ＥＢ
edited by G. Scorza Dragoni
13.
ＥＢ
by Alexander Arhangel’skii, Mikhail Tkachenko
14.
ＥＢ
by Dmitry Kozlov
15.
ＥＢ
by Max Karoubi
16.
ＥＢ
edited by Piotr Pragacz
17.
ＥＢ
edited by Mikhail Kapranov, Yuri Ivanovich Manin, Pieter Moree, Sergiy Kolyada, Leonid Potyagailo
18.
ＥＢ
by Jean Barge, Jean Lannes ; edited by H. Bass, J. Oesterlé, A. Weinstein
19.
ＥＢ
by Marco Manetti
20.
ＥＢ
by Jean Dieudonné
21.
ＥＢ
by Victor P. Snaith ; edited by H. Bass, J. Oesterlé, A. Weinstein
22.
ＥＢ
by Lluís Puig ; edited by H. Bass, J. Oesterlé, A. Weinstein
23.
ＥＢ
edited by Nils Baas, Eric M. Friedlander, Björn Jahren, Paul Arne Østvær
24.
ＥＢ
by Ian M. Chiswell
25.
ＥＢ
by Paul Arne Østvær
26.
ＥＢ
by Ieke Moerdijk, Bertrand Toën
27.
ＥＢ
by Audun Holme
28.
ＥＢ
by Joachim Hilgert, Karl-Hermann Neeb
29.
ＥＢ
by Bjørn Ian Dundas, Thomas G. Goodwillie, Randy McCarthy
目次情報:
続きを見る
Algebraic K-theory
Gamma-spaces and S-algebras
Reductions
Topological Hochschild Homology
The Trace K → THH
Topological Cyclic Homology
The Comparison of K-theory and TC
Algebraic K-theory
Gamma-spaces and S-algebras
Reductions
30.
ＥＢ
edited by Folkert Müller-Hoissen, Jean Marcel Pallo, Jim Stasheff
31.
ＥＢ
by Egbert Brieskorn, Horst Knörrer
目次情報:
続きを見る
I. History of algebraic curves
1. Origin and generation of curves
2. Synthetic and analytic geometry
3. The development of projective geometry
II. Investigation of curves by elementary algebraic methods
4. Polynomials
5. Definition and elementary properties of plane algebraic curves
6. The intersection of plane curves
7. Some simple types of curves
III. Investigation of curves by resolution of singularities
8. Local investigations
9. Global investigations
Bibliography
Index
I. History of algebraic curves
1. Origin and generation of curves
2. Synthetic and analytic geometry
32.
ＥＢ
by Jean-Louis Loday, Bruno Vallette
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 346
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-30362-3
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Preface
1.Algebras, coalgebras, homology
2.Twisting morphisms
3.Koszul duality for associative algebras
4.Methods to prove Koszulity of an algebra
5.Algebraic operad
6 Operadic homological algebra
7.Koszul duality of operads
8.Methods to prove Koszulity of an operad
9.The operads As and A\infty
10.Homotopy operadic algebras
11.Bar and cobar construction of an algebra over an operad
12.(Co)homology of algebras over an operad
13.Examples of algebraic operads
Apendices: A.The symmetric group
B.Categories
C.Trees
References
Index
List of Notation
Preface
1.Algebras, coalgebras, homology
2.Twisting morphisms
33.
ＥＢ
edited by A. Bjorner, F. Cohen, C. Concini, C. Procesi, M. Salvetti
目次情報:
続きを見る
On the structure of spaces of commuting elements in compact Lie groups
On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor
Characters of fundamental groups of curve complements and orbifold pencils
A survey of some recent results concerning polyhedral products
Analytic continuation of a parametric polytope and wall-crossing
Embeddings of braid groups into mapping class groups and their homology
The cohomology of the braid group B3 and of SL2(Z) with coefficients in a geometric representation
Pure braid groups are not residually free
Hodge–Deligne equivariant polynomials and monodromy of hyperplane arrangements
The contravariant form on singular vectors of a projective arrangement
Fox–Neuwirth cell structures and the cohomology of symmetric groups
Basic questions on Artin–Tits groups
Rational cohomology of the real Coxeter toric variety of type A
Arrangements stable under the Coxeter groups
Quantum and homological representations of braid groups
Cohomology of the complement to an elliptic arrangement
Residual nilpotence for generalizations of pure braid groups
Some topological problems on the configuration spaces of Artin and Coxeter groups
Chromatic quasisymmetric functions and Hessenberg varieties
Geometric and homological finiteness in free abelian covers
Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups
On the structure of spaces of commuting elements in compact Lie groups
On the fundamental group of the complement of two real tangent conics and an arbitrary number of real tangent lines
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor
34.
ＥＢ
by Joanna A. Ellis-Monaghan, Iain Moffatt
目次情報:
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1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
4. Interactions with Graph Polynomials
5. Applications to Knot Theory .- References
Index
1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
35.
ＥＢ
by Jean Gallier, Dianna Xu
目次情報:
続きを見る
The Classification Theorem: Informal Presentation
Surfaces
Simplices, Complexes, and Triangulations
The Fundamental Group, Orientability
Homology Groups
The Classification Theorem for Compact Surfaces
Viewing the Real Projective Plane in R3
Proof of Proposition 5.1
Topological Preliminaries
History of the Classification Theorem
Every Surface Can be Triangulated
Notes
The Classification Theorem: Informal Presentation
Surfaces
Simplices, Complexes, and Triangulations
36.
ＥＢ
by Toshikazu Sunada
37.
ＥＢ
by Daciberg Lima Goncalves, John Guaschi
目次情報:
続きを見る
Introduction and statement of the main results
Virtually cyclic groups: generalities, reduction and the mapping class group
Realisation of the elements of V1(n) and V2(n) in Bn(S2)
Appendix: The subgroups of the binary polyhedral groups
References.
Introduction and statement of the main results
Virtually cyclic groups: generalities, reduction and the mapping class group
Realisation of the elements of V1(n) and V2(n) in Bn(S2)
38.
ＥＢ
by Marco Manetti
目次情報:
続きを見る
1 Introduzione geometrica alla topologia
2 Insiemi
3 Strutture topologiche
4 Connessione e compattezza
5 Quozienti topologici
6 Successioni
7 Variet, prodotti infiniti e paracompattezza
8 Complementi di topologia generale
9 Intermezzo
10 Omotopia
11 Il gruppo fondamentale
12 Rivestimenti
13 Monodromia
14 Il teorema di Van Kampen
15 Complementi di topologia algebrica
16 Suggerimenti e soluzioni di alcuni esercizi
1 Introduzione geometrica alla topologia
2 Insiemi
3 Strutture topologiche
39.
ＥＢ
by Steven H. Weintraub
目次情報:
続きを見る
Preface
1. The Basics
2. The Fundamental Group
3. Generalized Homology Theory
4. Ordinary Homology Theory
5. Singular Homology Theory
6. Manifolds
7. Homotopy Theory
8. Homotopy Theory
A. Elementary Homological Algebra
B. Bilinear Forms
C. Categories and Functors
Bibliography
Index
Preface
1. The Basics
2. The Fundamental Group
40.
ＥＢ
by David Gauld
目次情報:
続きを見る
Topological Manifolds
Edge of the World: When are Manifolds Metrisable?
Geometric Tools
Type I Manifolds and the Bagpipe Theorem
Homeomorphisms and Dynamics on Non-Metrisable Manifolds
Are Perfectly Normal Manifolds Metrisable?
Smooth Manifolds
Foliations on Non-Metrisable Manifolds
Non-Hausdorff Manifolds and Foliations
Topological Manifolds
Edge of the World: When are Manifolds Metrisable?
Geometric Tools
41.
ＥＢ
edited by Pierre Cartier, A.D.R. Choudary, Michel Waldschmidt
目次情報:
続きを見る
Chapter 1. About phase transition and zero temperature
Chapter 2. Approximation on Curves
Chapter 3. Discriminants, polytopes, and toric geometry
Chapter 4. Lecture on the abc conjecture and some of its consequences
Chapter 5. Some results on chromaticity of quasi-linear hypergraphs
Chapter 6. Basic properties of the non-abelian global reciprocity map
Chapter 7. Poisson Smooth Structures on Stratified Symplectic Spaces
Chapter 8. Some classical problems in number theory via the theory of K3 surfaces
Chapter 9. On Ramsey (2K2;K4) - minimal graphs
Chapter 10. On the motion induced by a flat plate that applies oscillating shear stresses to an Oldroyd-B fluid. Applications
Chapter 11. Equilibrium in choice of generalized games
Chapter 12. Hamiltonian connectedness of Toeplitz graphs
Chapter 13. Cosmos and its furniture
Chapter 14. On super edge-antimagic total labeling of Toeplitz graphs
Chapter 1. About phase transition and zero temperature
Chapter 2. Approximation on Curves
Chapter 3. Discriminants, polytopes, and toric geometry
42.
ＥＢ
by Marcos M. Alexandrino, Renato G. Bettiol
目次情報:
続きを見る
1: Basic results on Lie groups
2: Lie groups with bi-invariant metrics
3: Proper and isometric acions
4: Adjoint and conjugation actions
5: Polar foliations
6: Low cohomogeneity actions and positive curvature
Appendix: Rudiments of smooth manifolds.
1: Basic results on Lie groups
2: Lie groups with bi-invariant metrics
3: Proper and isometric acions
43.
ＥＢ
by Marco Manetti
目次情報:
続きを見る
1 Geometrical introduction to topology
2 Sets
3 Topological structures
4 Connectedness and compactness
5 Topological quotients
6 Sequences
7 Manifolds, infinite products and paracompactness
8 More topics in general topology
9 Intermezzo
Homotopy
10 The fundamental group
11 Covering spaces
Monodromy
12 van Kampen's theorem
13 Selected topics in algebraic topology
14 Hints and solutions
15 References
16 Index
1 Geometrical introduction to topology
2 Sets
3 Topological structures
44.
ＥＢ
by Wilderich Tuschmann, David J. Wraith
目次情報:
続きを見る
Part I: Positive scalar curvature
The (moduli) space of all Riemannian metrics
Clifford algebras and spin
Dirac operators and index theorems
Early results on the space of positive scalar curvature metrics
Kreck-Stolz invariants
Applications of Kreck-Stolz invariants
The eta invariant and applications
The case of dimensions 2 and 3
The observer moduli space and applications
Other topological structures
Negative scalar and Ricci curvature
Part II: Sectional curvature
Moduli spaces of compact manifolds with positive or non-negative sectional curvature
Moduli spaces of compact manifolds with negative and non-positive sectional curvature
Moduli spaces of non-compact manifolds with non-negative sectional curvature
Positive pinching and the Klingenberg-Sakai conjecture
Part I: Positive scalar curvature
The (moduli) space of all Riemannian metrics
Clifford algebras and spin
45.
ＥＢ
by Aurel Bejancu, Hani Reda Farran
46.
ＥＢ
by Jerzy Jezierski, Waclaw Marzantowicz
47.
ＥＢ
edited by Paul Biran, Octav Cornea, François Lalonde
48.
ＥＢ
by Lech Górniewicz
49.
ＥＢ
by Beno Eckmann
50.
ＥＢ
by Ralph L. Cohen, Kathryn Hess, Alexander A. Voronov
出版情報:
Basel : Birkhäuser Verlag, 2006
シリーズ名:
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/3-7643-7388-1
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51.
ＥＢ
by Hans-Joachim Baues
52.
ＥＢ
by Henryk Zoladek
53.
ＥＢ
by Pierre Cartier, Luc Illusie, Nicholas M. Katz
54.
ＥＢ
by M. Banagl
55.
ＥＢ
edited by B.I. DundasM. Levine, P.A. Østvær, O. Röndigs et al
56.
ＥＢ
Kock, Joachim ; Vainsencher, Israel ; SpringerLink (Online service)
57.
ＥＢ
edited by Pierre CartierLuc Illusie, Nicholas M. Katz, Gérard Laumon et al
58.
ＥＢ
edited by Mikhail Gromov, Pierre Pansu
59.
ＥＢ
by Vladimir Turaev, Christian Kassel
60.
ＥＢ
by Jakob Jonsson
61.
ＥＢ
by Roman Mikhailov, Inder Bir Singh Passi ; edited by J. -M. Morel, F. Takens, B. Teissier
62.
ＥＢ
by Benoit Fresse
63.
ＥＢ
by Markus Banagl
64.
ＥＢ
by Michel Broué
65.
ＥＢ
by Jonathan A. Barmak
66.
ＥＢ
by Fabien Morel
目次情報:
続きを見る
1 Introduction
2 Unramified sheaves and strongly A1-invariant sheaves
3 Unramified Milnor-Witt K-theories
4 Geometric versus canonical transfers
5 The Rost-Schmid complex of a strongly A1-invariant sheaf
6 A1-homotopy sheaves and A1-homology sheaves
7 A1-coverings
8 A1-homotopy and algebraic vector bundles
9 The affine B.G. property for the linear groups and the Grassmanian
1 Introduction
2 Unramified sheaves and strongly A1-invariant sheaves
3 Unramified Milnor-Witt K-theories
67.
ＥＢ
by Stefan Witzel
目次情報:
続きを見る
Basic Definitions and Properties
Finiteness Properties of G(Fq[t])
Finiteness Properties of G(Fq[t; t-1])
Affine Kac-Moody Groups
Adding Places
Basic Definitions and Properties
Finiteness Properties of G(Fq[t])
Finiteness Properties of G(Fq[t; t-1])
68.
ＥＢ
by Christian Bär, Christian Becker
目次情報:
Differential Characters and Geometric Chains
Relative differential Cohomology
Index
Differential Characters and Geometric Chains
Relative differential Cohomology
Index
69.
ＥＢ
by Philip Hackney, Marcy Robertson, Donald Yau
目次情報:
続きを見る
Introduction
Graphs
Properads
Symmetric Monoidal Closed Structure on Properads
Graphical Properads
Properadic Graphical Category
Properadic Graphical Sets and Infinity Properads
Fundamental Properads of Infinity Properads
Wheeled Properads and Graphical Wheeled Properads
Infinity Wheeled Properads
What's Next?
Introduction
Graphs
Properads
70.
ＥＢ
by Ulrich Bunke, Alexander Engel
71.
ＥＢ
edited by Nils A. Baas, Gunnar E. Carlsson, Gereon Quick, Markus Szymik, Marius Thaule
目次情報:
続きを見る
A fractal dimension for measures via persistent homology
DTM-based filtrations
Persistence diagrams as diagrams: a categorification of the stability theorem
The persistence landscape and some of its properties
Topological approaches to deep learning
Topological data analysis of single-cell Hi-C contact maps
Neural ring homomorphisms and maps between neural codes
Radius functions on Poisson–Delaunay mosaics and related complexes experimentally
Iterated integrals and population time series analysis
Prediction in cancer genomics using topological signatures and machine learning
Topological adventures in neuroscience
Percolation on homology generators in codimension one
Hyperplane neural codes and the polar complex
Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence
Canonical stratifications along bisheaves
Inverse problems in topological persistence
Sparse circular coordinates via principal Z-bundles
Same but different: distance correlations between topological summaries
Certified mapper: repeated testing for acyclicity and obstructions to the nerve lemma
A fractal dimension for measures via persistent homology
DTM-based filtrations
Persistence diagrams as diagrams: a categorification of the stability theorem
72.
ＥＢ
edited by Frank Neumann, Sibylle Schroll
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 330
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-51795-3
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F. Neumann, S. Schroll, Introduction - Galois Covers, Grothendieck-Teichmüller Theory and Dessins d’Enfants – Interactions between Geometry, Topology, Number Theory and Algebra
F. Neumann, S. Balchin, On the number of rational points of classifying stacks for Chevalley group schemes
F. Catanese, Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds
E. Colombo, P. Frediani, Second fundamental form of the Prym map in the ramified case
B. Fairbairn, Strongly Real Beauville Groups III
F. F. Favale, C. Gleissner, R. Pignatelli, The pluricanonical systems of a product-quotient variety
G. A. Jones, Joining dessins together
M. Kim, Arithmetic Chern-Simons Theory I
M. Lönne, Branch stabilisation for the components of Hurwitz moduli spaces of Galois covers
G. Malić, S. Schroll, Dessins d'enfants and Brauer configuration algebras
É. Raphael, L. Schneps, On the elliptic Kashiwara-Vergne Lie algebra
F. Neumann, S. Schroll, Introduction - Galois Covers, Grothendieck-Teichmüller Theory and Dessins d’Enfants – Interactions between Geometry, Topology, Number Theory and Algebra
F. Neumann, S. Balchin, On the number of rational points of classifying stacks for Chevalley group schemes
F. Catanese, Cyclic Symmetry on Complex Tori and Bagnera-De Franchis Manifolds
73.
ＥＢ
by Robert Penner
目次情報:
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Foreword
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29
Lecture 30
Lecture 31
Lecture 32
Lecture 33
Lecture 34
Lecture 35
Lecture 36
Lecture 37
Lecture 38
Afterword by Mikhail Kapranov
References
Index
Foreword
Lecture 1
Lecture 2
74.
ＥＢ
edited by Takeo Ohsawa, Norihiko Minami
目次情報:
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A.K. Bousfield, Foreword
Takao Matumoto, Memories on Ohkawa’s mathematical life in Hiroshima
Carles Casacuberta, Depth and simplicity of Ohkawa’s argument
Shane Kelly, Some observations about motivic tensor triangulated geometry over a finite field
Ruth Joachimi, Thick ideals in equivariant and motivic stable homotopy categories
Takeo Ohsawa, Role of the L2 Method in the study of analytic Families
Carles Casacuberta and Jiri Rosicky, Combinatorial homotopy categories
Mark Behrens and Charles Rezk, Spectral algebra models of unstable vn-periodic homotopy theory
Takeshi Torii, On quasi-categories of comodules and Landweber exactness
Takuo Matsuoka, Koszul duality for En-algebras in a filtered category
Takuo Matsuoka, Some technical aspects of factorization algebras on manifolds
Ryo Kato, Hiroki Okajima and Katsumi Shimomura, Notes on an alegebraic stable homotopy category
Jack Morava, Operations on integral lifts of K(n)
Tobias Barthel, A short introduction to the telescope and chromatic splitting conjectures
Norihiko Minami, From Ohkawa to strong generation via approximable triangulated categories - a variation on the theme of Amnon Neeman's Nagoya lecture series
A.K. Bousfield, Foreword
Takao Matumoto, Memories on Ohkawa’s mathematical life in Hiroshima
Carles Casacuberta, Depth and simplicity of Ohkawa’s argument
75.
ＥＢ
by Jun Zhang
目次情報:
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Introduction
Preliminary
Tamarkin category theory
Applications in symplectic geometry
Supplements
References
Index
Introduction
Preliminary
Tamarkin category theory
76.
ＥＢ
by Clara Löh
目次情報:
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0 Introduction
1 The von Neumann dimension
2 L2-Betti numbers
3 The residually finite view: Approximation
4 The dynamical view: Measured group theory
5 Invariant random subgroups
6 Simplicial volume
A Quick reference
Bibliography
Symbols
Index
0 Introduction
1 The von Neumann dimension
2 L2-Betti numbers
77.
ＥＢ
by Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré
目次情報:
続きを見る
Background
The Quillen functors L and C , and their duals
Complete differential graded Lie algebras
Maurer-Cartan elements and the Deligne groupoid
The Lawrence-Sullivan Interval
The cosimplicial cdgl L
The model and realization functors
A model category for cdgl
The cosimplicial cdgl L via transfer
The Deligne-Getzler-Hinich functor MC and equivalence of realizations
Examples
Index of notation
Background
The Quillen functors L and C , and their duals
Complete differential graded Lie algebras
78.
ＥＢ
edited by Javier Fernández de Bobadilla, Tamás László, András Stipsicz
目次情報:
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Versality, bounds of global Tjurina numbers and logarithmic vector fields along hypersurfaces with isolated singularities
On ideal filtrations for Newton nondegenerate surface singularities
Young walls and equivariant Hilbert schemes of points in type D
Real Seifert forms, Hodge numbers and Blanchfield pairings
h-deformed Schubert calculus in equivariant cohomology, K-theory, and elliptic cohomology
Fundamental groups and path lifting for algebraic varieties
Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves
Normal reduction numbers of normal surface singularities
Motivic Chern classes of cones
Semicontinuity of Singularity Invariants in Families of Formal Power Series
Lattices and correction terms
Complex surface singularities with rational homology disk smoothings
On Tjurina Transform and Resolution of Determinantal Singularities
On the boundary of the Milnor fiber
Versality, bounds of global Tjurina numbers and logarithmic vector fields along hypersurfaces with isolated singularities
On ideal filtrations for Newton nondegenerate surface singularities
Young walls and equivariant Hilbert schemes of points in type D
79.
ＥＢ
by Clark Bray, Adrian Butscher, Simon Rubinstein-Salzedo
目次情報:
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Introduction
1. Surface Preliminaries
2. Surfaces
3. The Euler Characteristic and Identification Spaces
4. Classification Theorem of Compact Surfaces
5. Introduction to Group Theory
6. Structure of Groups
7. Cosets, Normal Subgroups, and Quotient Groups
8. The Fundamental Group
9. Computing the Fundamental Group
10. Tools for Fundamental Groups
11. Applications of Fundamental Groups
12. The Seifert-Van Kampen Theorem
13. Introduction to Homology
14. The Mayer-Vietoris Sequence
A. Topological Notions
Bibliography
Index
Introduction
1. Surface Preliminaries
2. Surfaces
80.
ＥＢ
by Bruno Scárdua
目次情報:
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Preface
The Classical Notions of Foliations
Some Results from Several Complex Variables
Holomorphic Foliations: Nonsingular Case
Holomorphic Foliations with Singularities
Holomorphic Foliations Given by Closed 1-Forms
Reduction of Singularities
Holomorphic First Integrals
Dynamics of a Local Diffeomorphism
Foliations on Complex Projective Spaces
Foliations with Algebraic Limit Sets
Some Modern Questions
Miscellaneous exercises and some open questions
Preface
The Classical Notions of Foliations
Some Results from Several Complex Variables
81.
ＥＢ
by Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, Günter M. Ziegler
82.
ＥＢ
by Ramji Lal
出版情報:
Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名:
Infosys Science Foundation Series in Mathematical Sciences ;
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-981-33-6326-7
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Chapter 1. Homological Algebra 1
Chapter 2. Homological Algebra 2, Derived Functions
Chapter 3. Homological Algebra 3, Examples and Applications
Chapter 4. Sheaf Co-homology and Applications
Chapter 1. Homological Algebra 1
Chapter 2. Homological Algebra 2, Derived Functions
Chapter 3. Homological Algebra 3, Examples and Applications
83.
ＥＢ
by Haim Brezis, Petru Mironescu
出版情報:
New York, NY : Springer US : Imprint: Birkhäuser, 2021
シリーズ名:
Progress in Nonlinear Differential Equations and Their Applications ; 96
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-1-0716-1512-6
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目次情報:
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Lifting in $W^{1,p}$
The Geometry of $J(u)$ and $\Sigma(u)$ in 2D; Point Singularities and Minimal Connections
The Geometry of $J(u)$ and $\Sigma(u)$ in 3D (and higher); Line Singularities and Minimal Surfaces
A Digression: Sphere-Valued Maps
Lifting in Fractional Sobolev Spaces and in $VMO$
Uniqueness of Lifting and Beyond
Factorization
Applications of the Factorization
Estimates of Phases: Positive and Negative Results
Density
Traces
Degree
Dirichlet Problems, Gaps, Infinite Energies
Domains with Topology
Appendices
Lifting in $W^{1,p}$
The Geometry of $J(u)$ and $\Sigma(u)$ in 2D; Point Singularities and Minimal Connections
The Geometry of $J(u)$ and $\Sigma(u)$ in 3D (and higher); Line Singularities and Minimal Surfaces
84.
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by Alberto Arabia
85.
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by Norbert A'Campo
目次情報:
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-1. Basic Differential Geometry
2. The Geometry of Manifolds
3. Hyperbolic Geometry
4. Some Examples and Sources of Geometry
5. Differential Topology of Surfaces
6. Riemann Surfaces
7. Surfaces of Genus g = 0
8. Surfaces with Riemannian Metric
9. Outline: Uniformization by Spectral Determinant
10. Uniformization by Energy
11. Families of Spaces
12. Functions on Riemann Surfaces
13. Line Bundles and Cohomology
14. Moduli Spaces and Teichmüller Spaces
15. Dimensions of Spaces of Holomorphic Sections
16. The Teichmüller Curve and its Universal Property
17. Riemann Surfaces and Algebraic Curves
18. The Jacobian of a Riemann Surface
19. Special Metrics on J-Surfaces
20. The Fundamental Group and Coverings
A. Reminder: Topology
References
Index
-1. Basic Differential Geometry
2. The Geometry of Manifolds
3. Hyperbolic Geometry
86.
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edited by Frank Neumann, Ambrus Pál
目次情報:
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- 1. Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects: an Introduction
2. An Introduction to A1-Enumerative Geometry
3. Cohomological Methods in Intersection Theory
4. Étale Homotopy and Obstructions to Rational Points
5. A1-Homotopy Theory and Contractible Varieties: a Survey
Index
- 1. Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects: an Introduction
2. An Introduction to A1-Enumerative Geometry
3. Cohomological Methods in Intersection Theory
87.
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by Pierre Cartier, Frédéric Patras
目次情報:
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1. Introduction
Part I General Theory
2 Coalgebras, Duality
3. Hopf Algebras and Groups
4. Structure Theorems
5. Graded Hopf Algebras and the Descent Gebra
6. PreLie Algebras
Part II Applications
7. Group Theory
8. Algebraic Topology
9. Combinatorial Hopf Algebras
10. Renormalization
1. Introduction
Part I General Theory
2 Coalgebras, Duality
88.
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by Atul Kumar Razdan, V. Ravichandran
目次情報:
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1. Sets, Functions and Cardinality
2. The Real Numbers
3. Sequence and Series of Numbers
4. Analysis on R
5. Topology of the Real Line
6. Metric Spaces
7. Continuity and Differentiability
8. Sequences and Series of Functions
9. Lebesgue Integration
10. Fourier Series
1. Sets, Functions and Cardinality
2. The Real Numbers
3. Sequence and Series of Numbers
89.
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by Najib Idrissi
90.
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by M. Ram Murty
目次情報:
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1. Background
2. Measure Theory
3. Fourier Transforms
4. Complex Analysis
5. Introduction to Algebraic Topology
Index
1. Background
2. Measure Theory
3. Fourier Transforms
91.
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by Hal Schenck
目次情報:
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Preface
1. Linear Algebra Tools for Data Analysis
2. Basics of Algebra: Groups, Rings, Modules
3. Basics of Topology: Spaces and Sheaves
4. Homology I: Simplicial Complexes to Sensor Networks
5. Homology II: Cohomology to Ranking Problems
6. Persistent Algebra: Modules over a PID
7. Persistent Homology
8. Multiparameter Persistent Homology
9. Derived Functors and Spectral Sequences
Appendix A. Examples of Software Packages
Bibliography
Preface
1. Linear Algebra Tools for Data Analysis
2. Basics of Algebra: Groups, Rings, Modules
92.
ＥＢ
by Gijs Heuts, Ieke Moerdijk
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 75
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-031-10447-3
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Part I The Elementary Theory of Simplicial and Dendroidal Sets
1 Operads
2 Simplicial Sets
3 Dendroidal Sets
4 Tensor Products of Dendroidal Sets
5 Kan Conditions for Simplicial Sets
6 Kan Conditions for Dendroidal Sets
Part II The Homotopy Theory of Simplicial and Dendroidal Sets
7 Model Categories
8 Model Structures on the Category of Simplicial Sets
9 Three Model Structures on the Category of Dendroidal Sets
Part III The Homotopy Theory of Simplicial and Dendroidal Spaces
10 Reedy Categories and Diagrams of Spaces
11 Mapping Spaces and Bousfield Localizations
12 Dendroidal Spaces and ∞-Operads
13 Left Fibrations and the Covariant Model Structure
14 Simplicial Operads and ∞-Operads
Epilogue
References
Index
Part I The Elementary Theory of Simplicial and Dendroidal Sets
1 Operads
2 Simplicial Sets
93.
ＥＢ
by András Némethi
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 74
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-031-06753-2
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1 Introduction
2 Resolution of Surface Singularities
3 The Link
4 Coverings
5 Examples
6 Invariants Associated With a Resolution
7 The Artin–Laufer Program
8 Multivariable Divisorial Filtration
9 Topological Invariants. The Seiberg–Witten Invariant
10 Ehrhart Theory and the Seiberg–Witten Invariant
11 Lattice Cohomology
12 Appendix. Complex Analytic Spaces
References
Index
1 Introduction
2 Resolution of Surface Singularities
3 The Link
94.
ＥＢ
by Clara Löh
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Surveys and Tutorials in the Applied Mathematical Sciences ; 11
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-031-14649-7
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Introduction
1 The Lean Proof Assistant
2 Basic Examples
3 Design Choices
4 Abstraction and Prototyping
Introduction
1 The Lean Proof Assistant
2 Basic Examples
95.
ＥＢ
by Holger Kammeyer
目次情報:
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Basic notions of category theory
Fundamental groupoid and van Kampen's theorem
Homology: ideas and axioms
Singular homology
Homology: computations and applications
Cellular homology
Appendix: Quotient topology
Basic notions of category theory
Fundamental groupoid and van Kampen's theorem
Homology: ideas and axioms
96.
ＥＢ
edited by Ellen Gasparovic, Vanessa Robins, Katharine Turner
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Association for Women in Mathematics Series ; 30
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-95519-9
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The Persistent Homology of Dual Digital Image Constructions (V. Robins)
Morse-based Fibering of the Persistence Rank Invariant (C. Landi)
Local Versus Global Distances for Zigzag and Multi Parameter Persistence Modules (E. Gasparovic)
Tile-transitive tilings of the Euclidean and hyperbolic planes by ribbons (V. Robins)
Graph Pseudometrics from a Topological Point of View (J. Tan)
Nerve theorems for fixed points of neural networks (C. Curto)
Combinatorial Conditions for Directed Collapsing (T. Fasy)
Lions and contamination, triangular grids, and Cheeger constants (L. Gibson)
A Topological Approach for Motion Track Discrimination (S. Tymochko)
Persistent topology of protein space (W. Hamilton)
Mappering Mecklenburg County: Exploring Census data for potential communities of interest (M. Thatcher)
Stitch Fix for Mapper and Topological Gains (B. Wang)
The Persistent Homology of Dual Digital Image Constructions (V. Robins)
Morse-based Fibering of the Persistence Rank Invariant (C. Landi)
Local Versus Global Distances for Zigzag and Multi Parameter Persistence Modules (E. Gasparovic)
97.
ＥＢ
edited by Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk
目次情報:
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Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk, Dedication
Peter Albers, Serge Tabachnikov, Symplectically convex and symplectically star-shaped curves: A variational problem
Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin, C^0-robustness of topological entropy for geodesic flows
Luca Asselle, Marco Fenucci, Alessandro Portaluri, Bifurcations of balanced configurations for the Newtonian n-body problem in R^4
Gabriele Benedetti, Jungskoo Kang, Relative Hofer–Zehnder capacity and positive symplectic homology
Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini, An Arnold-type prinicple for non-smooth objects
Lev Buhovsky, Emmanuel Opshtein, Quantitative h-principle in symplectic geometry
Franco Cardin, On symplectomorphisms and Hamiltonian Flows
Roger Casals, Lagrangian skeleta and plane curve singularities
Baptiste Chantraine, Reeb chords of Lagrangian Slices
Marc Chaperon, Basic facts and naïve questions
Erman Çineli, Viktor L. Ginzburg, Başak Z. Gürel, Another look at the Hofer-Zehnder conjecture
Daniel Cristofaro-Gardiner, Richard Hind, Kyler Siegel, Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids
Guido de Philippis, Michele Marini, Marco Mazzucchelli, Stefan Suhr, Closed geodesics on reversible Finsler 2-spheres
Michael Entov, Leonid Polterovich, Legendrian persistance modules and dynamics
Jonathan David Evans, A Lagrangian Klein bottle you can't squeeze
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Construction of a linear K-system in Hamiltonian Floer theory
Hansjörg Geiges, What does a vector field know about volume?- Paolo Ghiggini, Klaus Niederkrüger-Eid, On the symplectic fillings of standard real projective spaces
Alexey Glutsyuk, On curves with the Poritsky property
Jean Gutt, Michael Hutchings, Vinicius G. B. Ramos, Examples around the strong Viterbo conjecture
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring, Global surfaces of section with positive genus for dynamically convex Reeb flows
Michael Hutchings, ECH capacities and the Ruelle invariant
Kei Ire, Capacities of billiard tables and S^1-equivariant loop space homology
Joontae Kim, Seongchan Kim, Myeonggi Kwon, Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities
Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch, Diffeomorphism type via aperiodicity in Reeb dynamics
Patrice Le Calvez, Conservative surface homeomorphisms with finitely many periodic points
Frédéric Le Roux, Sobhan Seyfaddini, The Anosov–Katok method and pseudo-rotations in symplectic dynamics
Agustin Moreno, Contact geometry in the restricted three-body problem: a survey
Agustin Moreno, Otto van Koert, A generalized Poincaré–Birkhoff theorem
Georgios Dimitroglou Rizell, Families of Legendrians and Lagrangians with unbounded spectral norm
Paul Seidel, Nicholas Wilkins, Covariant constancy of quantum Steenrod operations
Vivek Shende, An algebraic approach to the algebraic Weinstein conjecture
Matthew Strom Borman, Nick Sheridan, Umut Varolgunes, Quantum cohomology as a deformation of symplectic cohomology
Fabian Ziltener, A symplectic embedding of the cube with minimal sections and a question by Schlenk
Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk, Dedication
Peter Albers, Serge Tabachnikov, Symplectically convex and symplectically star-shaped curves: A variational problem
Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin, C^0-robustness of topological entropy for geodesic flows
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