1.
ＥＢ
edited by John C. Baez, J. Peter May
2.
ＥＢ
edited by P. Salmon
3.
ＥＢ
by J.W. Neuberger
4.
ＥＢ
by Jean-Luc Brylinski
5.
ＥＢ
edited by Krzysztof Galicki, Santiago R. Simanca
6.
ＥＢ
by Gérard Milmeister
7.
ＥＢ
by Joseph J. Rotman
8.
ＥＢ
by Ian M. Chiswell
9.
ＥＢ
by Ieke Moerdijk, Bertrand Toën
10.
ＥＢ
by Audun Holme
11.
ＥＢ
edited by Anthony Joseph, Anna Melnikov, Ivan Penkov
12.
ＥＢ
by Arthur Knoebel
13.
ＥＢ
by Bjørn Ian Dundas, Thomas G. Goodwillie, Randy McCarthy
目次情報:
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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
14.
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
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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
15.
ＥＢ
by Yuval Z. Flicker
目次情報:
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Elliptic Moduli
Hecke Correspondences
Trace Formulae
Higher Recipropcity Laws.
Elliptic Moduli
Hecke Correspondences
Trace Formulae
16.
ＥＢ
edited by Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
目次情報:
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C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras
D. Happel: Algebras of finite global dimension
K. Igusa (with G. Todorov): Continuous Frobenius categories
D.A. Jorgensen: Triangle functors from generic hypersurfaces
Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian
H. Krause: Morphisms determined by objects in triangulated categories
P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories
J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories
C.M. Ringel: Distinguished bases of exceptional modules
A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories
D. Speyer and H. Thomas: Acyclic cluster algebras revisited
H. Thomas and D. Speyer: Acyclic cluster algebras revisited
G. Todorov and K. Igusa: Continuous Frobenius categories
L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian
D. Zacharia and D. Happel: Algebras of finite global dimension
C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
17.
ＥＢ
by Steven H. Weintraub
目次情報:
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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
18.
ＥＢ
by Marek Golasiński, Juno Mukai
目次情報:
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Introduction
Gottlieb groups of Spheres
Gottlieb and Whitehead Center Groups of Projective Spaces
Gottlieb and Whitehead Center Groups of Moore Spaces
Introduction
Gottlieb groups of Spheres
Gottlieb and Whitehead Center Groups of Projective Spaces
19.
ＥＢ
by George M. Bergman
目次情報:
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1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
3 Free Groups
4 A Cook's Tour
Part II: Basic Tools and Concepts
5 Ordered Sets, Induction, and the Axiom of Choice
6 Lattices, Closure Operators, and Galois Connections
7 Categories and Functors
8 Universal Constructions
9 Varieties of Algebras
Part III: More on Adjunctions
10 Algebras, Coalgebras, and Adjunctions
References
List of Exercises
Symbol Index
Word and Phrase Index
1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
20.
ＥＢ
by Goro Kato
21.
ＥＢ
by Masaki Kashiwara, Pierre Schapira
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 332
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http://dx.doi.org/10.1007/3-540-27950-4
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22.
ＥＢ
by Ioannis Emmanouil
23.
ＥＢ
by N. Bourbaki
24.
ＥＢ
by Pierre Cartier, Luc Illusie, Nicholas M. Katz
25.
ＥＢ
edited by Ralf Krömer
26.
ＥＢ
by Anthony W. Knapp
27.
ＥＢ
edited by Pierre CartierLuc Illusie, Nicholas M. Katz, Gérard Laumon et al
28.
ＥＢ
edited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
29.
ＥＢ
by Marta Bunge, Jonathon Funk
30.
ＥＢ
by Joseph Lipman, Mitsuyasu Hashimoto ; edited by J.-M. Morel, F. Takens, B. Teissier
31.
ＥＢ
by Roman Mikhailov, Inder Bir Singh Passi ; edited by J. -M. Morel, F. Takens, B. Teissier
32.
ＥＢ
by Benoit Fresse
33.
ＥＢ
by Pierre Gillibert, Friedrich Wehrung
34.
ＥＢ
by Tim Kirschner
35.
ＥＢ
by Philip Hackney, Marcy Robertson, Donald Yau
目次情報:
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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
36.
ＥＢ
edited by Jean-Louis Colliot-Thélène, Skip Garibaldi, R. Sujatha, Venapally Suresh
出版情報:
New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名:
Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 18
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http://dx.doi.org/10.1007/978-1-4419-6211-9
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37.
ＥＢ
edited by A. A. Ambily, Roozbeh Hazrat, B. Sury
目次情報:
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Chapter 1. Morita Equivalent Leavitt Path Algebras
Chapter 2. A survey on the ideal structure of Leavitt path algebras
Chapter 3. The injective and projective Leavitt complexes
Chapter 4. Graph C*-algebras
Chapter 5. Steinberg Algebras
Chapter 6. Leavitt path algebras
Chapter 7. Relating the principles of Quillen-Suslin theory
Chapter 8. Action on Alternating matrices and Compound matrices
Chapter 9. On the relative Quillen-Suslin Local Global Principle
Chapter 10. On the non-injectivity of the Vaserstein symbol for real threefolds
Chapter 11. The quotient Unimodular Vector group is nilpotent
Chapter 12. Symplectic linearization of an alternating polynomial matrix
Chapter 13. On a theorem of Suslin
Chapter 14. On a group structure on unimodular rows of length three over a two dimensional ring
Chapter 15. On an algebraic analogue of the Mayer-Vietoris sequence
Chapter 16. On the completability of unimodular rows of length three
Chapter 17. Sandwich classification for classical-like groups over commutative rings
Chapter 18. A Survey on applications of K-theory in affine algebraic geometry
Chapter 19. On the non-infectivity of the Vaserstein Symbol in dimension three
Chapter 20. A survey on affine monoids and K-theory
Chapter 21. A Survey on the elementary orthogonal groups
Chapter 1. Morita Equivalent Leavitt Path Algebras
Chapter 2. A survey on the ideal structure of Leavitt path algebras
Chapter 3. The injective and projective Leavitt complexes
38.
ＥＢ
edited by Jan de Gier, Cheryl E. Praeger, Terence Tao
目次情報:
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Non-Equilibrium Systems and Special Functions
Algebraic Geometry, Approximation and Optimisation
On the Frontiers of High Dimensional Computation
Month of Mathematical Biology
Dynamics, Foliations, and Geometry In Dimension 3
Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type
Functional Data Analysis and Beyond
Geometric and Categorical Representation Theory
Non-Equilibrium Systems and Special Functions
Algebraic Geometry, Approximation and Optimisation
On the Frontiers of High Dimensional Computation
39.
ＥＢ
edited by Mercedes Siles Molina, Laiachi El Kaoutit, Mohamed Louzari, L'Moufadal Ben Yakoub, Mohamed Benslimane
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 311
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https://doi.org/10.1007/978-3-030-35256-1
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Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
Cabrera-Padilla, M. G., Jiménez-Vargas A. and Villegas-Vallecillos, M: A survey on isometries between Lipschitz spaces
Carmona, J., López-Martínez, S. and Martínez-Aparicio P. J: The principal eigenvalue for a class of singular quasilinear elliptic operators and applications
Martín, A. J. C., Dieme, B., and Izquierdo F. J. N: Non-commutative Poisson algebras admitting a multiplicative basis
García, M. C. and Palacios, Á . R: Multiplication algebras: algebraic and analytic aspects
Oudghiri, M. and Souilah, K: Generalized Drazin inverse and commuting Riesz perturbations
Louzari, M. and Reyes, A: Generalized rigid modules and their polynomial extensions
Martín, A. J. C., Gaye, B., and Izquierdo F. J. N: n-Ary k -actions between sets and their applications
Badry, M. E., Abdallaoui, M. A., and Haily, A: Primary group rings
Diop, Y., Mesmoudi, L. and Sow, D: Semi-ring based Gröbner-Shirshov bases over a noetherian valuation ring
Haynou, M. and Mohammed Taous, M: The 4-rank of the class group of some real pure quartic number fields
Part II: Homological and categorical methods in algebra
Bulacu, D., and Torrecillas, B: Frobenius monoidal algebras and related topics
Dembele, B., Maaouia M. B. F. and Sanghare, M: The functor SC−1 () and its relationship with homological functors T orn and E XT n
Kaoutit, L. E.: BOCSES over small linear categories and corings
Ammar, F., Ayadi, I., Mabrouk, S., and Makhlouf, A: Quadratic color Hom-Lie algebras
Abdelalim, S., Chaichaa, A. and Garn, M. E: The extension property in the category of direct sum of cyclic torsion-free modules over a BFD
Part III: History of Mathematics
Azizi, A.: Arabic Scientific and technical Heritage in Morocco
Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
40.
ＥＢ
by Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson
41.
ＥＢ
edited by Elisabetta Colombo, Barbara Fantechi, Paola Frediani, Donatella Iacono, Rita Pardini
目次情報:
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1 E. Amerik, Negative rational curves and their deformations on hyperkähler manifolds
2 C. Camere, Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds
3 C. Ciliberto et al., A note on Severi varieties of nodal curves on Enriques surfaces
4 E. Floris and V. Lazic, A travel Guide to the canonical bundle Formula
5 A.-S. Kaloghiros, Some examples of Calabi-Yau pairs with maximal intersection and no toric model
6 E. Lepri and M. Manetti, On Deformations of diagrams of commutative Algebras
7 C. Lozano Huerta and A. Massarenti, The Lefschetz principle in birational geometry: birational twin variety
8 L. Lunardon, What is the monodromy property for degenerations of Calabi-Yau varieties?
9 A. Perego, Examples of irreducible symplectic varieties
10 A. Petracci, An example of Mirror Symmetry for Fano threefolds
11 S. Schreieder and L. Tasin, Chern numbers of uniruled threefolds
1 E. Amerik, Negative rational curves and their deformations on hyperkähler manifolds
2 C. Camere, Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds
3 C. Ciliberto et al., A note on Severi varieties of nodal curves on Enriques surfaces
42.
ＥＢ
by William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Héctor Suárez, Helbert Venegas
目次情報:
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Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
III Matrix and Gröbner Methods for Skew PBW Extensions
IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions
References
Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
43.
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
44.
ＥＢ
by Ibrahim Assem, Flávio U. Coelho
目次情報:
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Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
Chapter 3: Constructing almost split sequences
Chapter 4: The Auslander–Reiten quiver of an algebra
Chapter 5: Endomorphism algebras
Chapter 6: Representation-finite algebras
Bibliography
Index
Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
45.
ＥＢ
by Donald Yau
目次情報:
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Category Theory
Involutive Categories
Coherence of Involutive Categories
Involutive Monoidal Categories
Coherence of Involutive Monoidal Categories
Coherence of Involutive Symmetric Monoidal Categories
Categorical Gelfand-Naimark-Segal Construction
Involutive Operads
Category Theory
Involutive Categories
Coherence of Involutive Categories
46.
ＥＢ
edited by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Algorithms and Computation in Mathematics ; 28
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https://doi.org/10.1007/978-3-030-26454-3
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Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
3 Introduction to Algorithms for D-Modules with Quiver D-Modules
4 Noncommutative Gröbner Bases: Applications and Generalizations
5 Introduction to Computational Algebraic Statistics
Part II Second Byway: Quivers
6 Introduction to Representations of Quivers
7 Introduction to Quiver Varieties
8 On Additive Deligne-Simpson Problems
9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1
Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
47.
ＥＢ
by Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré
目次情報:
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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
48.
ＥＢ
by Antoine Chambert-Loir
目次情報:
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Preface
1 Rings
2 Ideals and divisibility
3 Modules
4 Field extensions
5 Modules over principal ideal rings
6 Noetherian and artinian rings. Primary decomposition
7 First steps in homological algebra
8 Tensor products and determinants
9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings
Appendix
References
Index
Preface
1 Rings
2 Ideals and divisibility
49.
ＥＢ
edited by Bahar Acu, Catherine Cannizzo, Dusa McDuff, Ziva Myer, Yu Pan, Lisa Traynor
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Association for Women in Mathematics Series ; 27
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https://doi.org/10.1007/978-3-030-80979-9
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A Polyfold proof of Gromov's non-squeezing theorem (K. Wehrheim)
Infinite staircases for Hirzebruch surfaces (T. Holm)
Action-angle and complex coordinates on toric manifolds (H. Lee)
An introduction to Weinstein handlebodies for complements of smoothed Toroc divisors (B. Acu)
Constructions of Lagrangian Cobordisms (L. Traynor)
On Khovanov homology and related invariants (M. Zhang)
Braids, Fibered Knots, and Concordance Questions (D. Hubbard)
A Polyfold proof of Gromov's non-squeezing theorem (K. Wehrheim)
Infinite staircases for Hirzebruch surfaces (T. Holm)
Action-angle and complex coordinates on toric manifolds (H. Lee)
50.
ＥＢ
by Leonid Positselski
目次情報:
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Preface
Prologue
Introduction
Homogeneous Quadratic Duality over a Base Ring
Flat and Finitely Projective Koszulity
Relative Nonhomogeneous Quadratic Duality
The Poincare-Birkhoff-Witt Theorem
Comodules and Contramodules over Graded Rings
Relative Nonhomogeneous Derived Koszul Duality: the Comodule Side
Relative Nonhomogeneous Derived Koszul Duality: the Contramodule Side
The Co-Contra Correspondence
Koszul Duality and Conversion Functor
Examples
References
Preface
Prologue
Introduction
51.
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 ;
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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
52.
ＥＢ
by Markus Land
目次情報:
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Preface
Categories, simplicial sets, and in nity-categories
Joyal's theorem, applications, and Dwyer-Kan localizations
(Co)Cartesian brations and the construction of functors
Limits and Colimits
Adjunctions and adjoint functor theorems
Exercises
Preface
Categories, simplicial sets, and in nity-categories
Joyal's theorem, applications, and Dwyer-Kan localizations
53.
ＥＢ
edited by Maria Manuel Clementino, Alberto Facchini, Marino Gran
目次情報:
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Rings, epimorphisms, Gabriel topologies and contramodules
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
An introduction to regular categories
Categorical commutator theory
Notes on point-free topology
Non-associative algebra
Rings, epimorphisms, Gabriel topologies and contramodules
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
54.
ＥＢ
by Alberto Arabia
55.
ＥＢ
edited by P. G. Romeo, Mikhail V. Volkov, A. R. Rajan
出版情報:
Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 345
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オンライン:
https://doi.org/10.1007/978-981-33-4842-4
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A. Guterman, L. Márki, P. Shteyner, Ordering orders and quotient rings
P. U. Anusha, Riyas and K. Geetha, A Study On Cayley Graphs of Full Transformation Semigroups
A. M. Gaysian M. V. Volkov, Block groups and Hallrelations
B. Yu , Z. Wang, K. Shum, Balanced Categories and the Biorder in Semigroups
G. Kudryavtseva, Quotients of the booleanization of an inverse semigroup
J. Kumar, S. Dalal, P. Pandey, On the structure of the commuting graph of Brandt semigroups
J. Meakin, P. A. Azeef Mohammed A. R. Rajan, The mathematical work of KS S Nampooripad
J. Rhodes, A. Schilling, Markov chains through semigroup graph expansions (a survey)
L. Carini, On various multiplicity free products of Schur functions
Mário J. J. Branco, J. Carlos Costa, On ω−identities over finite aperiodic semigroups with commuting idempotents
M. V. Lawson, The polycyclic inverse monoids and the Thompson group revisited
C. S. Preenu, A. R. Rajan, K. S. Zeenath, Category of principal left ideals of Normal bands
P. G. Romeo, R. Jose, Category of chain bundles
V. Yu Shaprynskii, B. M Vernikov, Cancellable elements in the lattice of overcommutative semigroup varieties
A. Guterman, L. Márki, P. Shteyner, Ordering orders and quotient rings
P. U. Anusha, Riyas and K. Geetha, A Study On Cayley Graphs of Full Transformation Semigroups
A. M. Gaysian M. V. Volkov, Block groups and Hallrelations
56.
ＥＢ
by Jorge Picado, Aleš Pultr
目次情報:
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Introduction
Separation in spaces
Subfitness, and basics of fitness
Summarizing low separation
Regularity and fitness
Complete regularity
Normality
Scatteredness. Joins of closed sublocales
Subfit, fit, open and complete
Appendix
Introduction
Separation in spaces
Subfitness, and basics of fitness
57.
ＥＢ
by Scott Balchin
目次情報:
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Introduction
Part I The theory and practice of model categories
Introduction to Part I
On Quillen model categories
Properties
New models from old
Relation to (,1)-categories
Part II Examples
Introduction to Part II
Simplicial sets
Topological spaces
Chain complexes
Categories
Spectra
Simplicial categories
Bisimplicial sets
Relative categories
Dendroidal sets
Cyclic Sets
C-algebras
Miscellanea
Part III A model categorical Kunstkammer.-Introduction to Part III
Die Kunstkammer
Bibliography
Index
Introduction
Part I The theory and practice of model categories
Introduction to Part I
58.
ＥＢ
edited by Jacob Greenstein, David Hernandez, Kailash C. Misra, Prasad Senesi
目次情報:
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Publications of Vyjayanthi Chari
Students of Vyjayanthi Chari
Part I: Courses
String Diagrams and Categorification
Quantum Affine Algebras and Cluster Algebras
Part II: Surveys
Work of Vyjayanthi Chari
Steinberg Groups for Jordan Pairs - An Introduction with Open Problems
On the Hecke-Algebraic Approach for General Linear Groups over a p-adic Field
Part III: Papers
Categorical Representations and Classical p-adic Groups
Formulae of l-Divided Powers in Uq(sl2),II
Longest Weyl Group Elements in Action
Dual Kashiwara Functions for the B(∞) Crystal in the Bipartite Case
Lusztig's t-Analogue of weight multiplicity via Crystals
Conormal Varieties on the Cominuscule Grassmannian
Evaluation Modules for Quantum Toroidal gln Algebras
Dynamical Quantum Determinants and Pfaffians
Publications of Vyjayanthi Chari
Students of Vyjayanthi Chari
Part I: Courses
59.
ＥＢ
by Yukinobu Toda
目次情報:
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1Donaldson–Thomas invariants on Calabi–Yau 3-folds
2Generalized Donaldson–Thomas invariants
3Donaldson–Thomas invariants for quivers with super-potentials
4Donaldson–Thomas invariants for Bridgeland semistable objects
5Wall-crossing formulas of Donaldson–Thomas invariants
6Cohomological Donaldson–Thomas invariants
7Gopakumar–Vafa invariants
8Some future directions
1Donaldson–Thomas invariants on Calabi–Yau 3-folds
2Generalized Donaldson–Thomas invariants
3Donaldson–Thomas invariants for quivers with super-potentials
60.
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by Winfried Bruns, Aldo Conca, Claudiu Raicu, Matteo Varbaro
目次情報:
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1 Gröbner bases, initial ideals and initial algebras
2 More on Gröbner deformations
3 Determinantal ideals and the straightening law
4 Gröbner bases of determinantal ideals
5 Universal Gröbner bases
6 Algebras defined by minors
7 F-singularities of determinantal rings
8 Castelnuovo–Mumford regularity
9 Grassmannians, flag varieties, Schur functors and cohomology
10 Asymptotic regularity for symbolic powers of determinantal ideals
11 Cohomology and regularity in characteristic zero
1 Gröbner bases, initial ideals and initial algebras
2 More on Gröbner deformations
3 Determinantal ideals and the straightening law
61.
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by Marco Manetti
目次情報:
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1. An Overview of Deformation Theory of Complex Manifolds
2. Lie Algebras
3. Functors of Artin Rings
4. Infinitesimal Deformations of Complex Manifolds and Vector Bundles
5. Differential Graded Lie Algebras
6. Maurer–Cartan Equation and Deligne Groupoids
7. Totalization and Descent of Deligne Groupoids
8. Deformations of Complex Manifolds and Holomorphic Maps
9. Poisson, Gerstenhaber and Batalin–Vilkovisky Algebras
10. L1-algebras
11. Coalgebras and Coderivations
12. L1-morphisms
13. Formal Kuranishi Families and Period Maps
References
1. An Overview of Deformation Theory of Complex Manifolds
2. Lie Algebras
3. Functors of Artin Rings
62.
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by Benno van den Berg, Eric Faber
63.
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by Martin Mathieu
目次情報:
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Introduction
Chapter 1. Motivation from Ring Theory
Chapter 2. Constructions with Modules
Chapter 3. The Isomorphism Theorems
Chapter 4. Noetherian Modules
Chapter 5. Artinian Modules
Chapter 6. Simple and Semisimple Modules
Chapter 7. The Artin-Weddeburn Theorem
Chapter 8. Tensor Products of Modules
Chapter 9. Exchange Modules and Exchange Rings
Chapter 10. Semiprimitivity of Group Rings
Bibliography
Index of Symbols
Index
Introduction
Chapter 1. Motivation from Ring Theory
Chapter 2. Constructions with Modules
64.
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by José-Antonio de la Peña
目次情報:
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1 Introduction and First Examples
2 A Categorical Approach
3 Constructive Methods
4 Spectral Methods in Representation Theory
5 Group Actions on Algebras and Module Categories
6 Reflections and Weyl Groups
7 Simply Connected Algebras
8 Degenerations of Algebras
9 Further Comments
1 Introduction and First Examples
2 A Categorical Approach
3 Constructive Methods
65.
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edited by Mo-Lin Ge, Yang-Hui He
目次情報:
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1 Frank Yang at Stony Brook and the Beginning of Supergravity
2. A Stacky Approach to Crystals
3 The Potts Model, the Jones Polynomial and Link Homology
4 The Penrose–Onsager–Yang Approach to Superconductivity and Superfluidity
5 Quantum Operads
6 Quantum computational complexity with photons and linear optics
7 Quantized Twistors, G2*, and the Split Octonions
8 Kronecker Anomalies and Gravitational Striction
9 Projecting Local and Global Symmetries to the Planck Scale
10 Gauge Symmetry in Shape Dynamics
11 Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?
12 Quantum Anomalous Hall Effect
13 Magic Superconducting States in Cuprates
1 Frank Yang at Stony Brook and the Beginning of Supergravity
2. A Stacky Approach to Crystals
3 The Potts Model, the Jones Polynomial and Link Homology
66.
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by Najib Idrissi
67.
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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
68.
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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
所蔵情報:
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目次情報:
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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
69.
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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
70.
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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
所蔵情報:
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目次情報:
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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)
71.
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by Pierre Antoine Grillet
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