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1.

電子ブック
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1. Simplicial Structures in Topology
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 ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7236-1
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2.

電子ブック
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2. Introduction to Topological Manifolds
by John M. Lee
出版情報: New York, NY : Springer Science and Business Media, LLC, 2011
シリーズ名: Graduate Texts in Mathematics ; 202
オンライン: http://dx.doi.org/10.1007/978-1-4419-7940-7
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3.

電子ブック
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3. A Cp-Theory Problem Book : Topological and Function Spaces
by Vladimir V. Tkachuk
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Problem Books in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7442-6
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4.

電子ブック
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4. Topologia differenziale
edited by E. Vesentini
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 26
オンライン: http://dx.doi.org/10.1007/978-3-642-10988-1
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5.

電子ブック
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5. A Course in Formal Languages, Automata and Groups
by Ian M. Chiswell
出版情報: London : Springer-Verlag London, 2009
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-84800-940-0
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6.

電子ブック
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6. Algebraic Operads
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
オンライン: http://dx.doi.org/10.1007/978-3-642-30362-3
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目次情報: 続きを見る
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
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7. A Guide to the Classification Theorem for Compact Surfaces
by Jean Gallier, Dianna Xu
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Geometry and Computing ; 9
オンライン: http://dx.doi.org/10.1007/978-3-642-34364-3
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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
8.

電子ブック
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8. Fundamentals of Algebraic Topology
by Steven H. Weintraub
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
シリーズ名: Graduate Texts in Mathematics ; 270
オンライン: http://dx.doi.org/10.1007/978-1-4939-1844-7
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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
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9. Non-metrisable Manifolds
by David Gauld
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-981-287-257-9
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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
10.

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10. Moduli Spaces of Riemannian Metrics
by Wilderich Tuschmann, David J. Wraith
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2015
シリーズ名: Oberwolfach Seminars ; 46
オンライン: http://dx.doi.org/10.1007/978-3-0348-0948-1
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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