Monoidal Categories and the Gerstenhaber
β Reiner Hermann
π Library
π
2016
π Amer Mathematical Society
π English
β¦ LIBER β¦
π
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I
β Scribed by Simon Lentner; Svea Nora Mierach; Christoph Schweigert; Yorck SommerhΓ€user
- Publisher
- Springer
- Year
- 2023
- Tongue
- English
- Leaves
- 76
- Series
- SpringerBriefs in Mathematical Physics, 44
- Edition
- 1
- Category
- Library
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β¦ Table of Contents
Contents
Introduction
Chapter 1 Mapping Class Groups
1.1 The classification of surfaces
1.2 The fundamental group
1.3 Mapping class groups
1.4 Dehn twists
1.5 Braidings
1.6 The action on the fundamental group
1.7 Dehn twists for special curves
1.8 Dehn twists related to two boundary components
1.9 The capping homomorphism
1.10 The Birman sequence
1.11 Singular homology
1.12 The mapping class group of the torus
1.13 The mapping class group of the sphere
Chapter 2 Tensor Categories
2.1 Finiteness
2.2 Factorizable Hopf algebras
2.3 Coends
2.4 Coends from Hopf algebras
2.5 The block spaces
2.6 Mapping class group representations
2.7 Modular functors
2.8 The case of the torus
Chapter 3 Derived Functors
3.1 Projective resolutions
3.2 Derived block spaces
3.3 The case of the sphere
3.4 Hochschild cohomology
References
π SIMILAR VOLUMES
Mapping Class Groups of Low Genus and Th
β D. J. Benson, Frederick R. Cohen
π Library
π
1991
π Amer Mathematical Society
π English
Lectures on Tensor Categories and Modula
β Jr. Bojko Bakalov and Alexander Kirillov
π Library
π
2001
π American Mathematical Society
π English
This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal
Lectures on Tensor Categories and Modula
β Jr. Bojko Bakalov and Alexander Kirillov
π Library
π
2001
π American Mathematical Society
π English
This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal
Lectures on tensor categories and modula
β Jr. Bojko Bakalov and Alexander Kirillov
π Library
π
2001
π American Mathematical Society
π English
This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal
Characteristic classes and cohomology of
β C. B. Thomas
π Library
π
2008
π Cambridge University Press
π English
The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G