Monoidal Categories and Topological Field Theory

• Main Authors: Turaev, Vladimir (Author), Virelizier, Alexis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Progress in Mathematics, 322
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Manifolds (Mathematics).; Complex manifolds.; Category Theory, Homological Algebra.; Manifolds and Cell Complexes (incl. Diff.Topology).

This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spher...

Table of Contents:

• Introduction
• Part I: Monoidal Categories
• Part 2: Hopf Algebras and Monads
• Part 3: State Sum Topological Field Theory
• Part 4: Graph Topological Field Theory
• Appendices
• Bibliography
• Index.