Frobenius Algebras and 2-D Topological Quantum Field Theories

by Joachim Kock

Overview

Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into a more general pattern. Throughout the text emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. Includes numerous exercises and examples.

Product Details

ISBN-13:	9780521832670
Publisher:	Cambridge University Press
Publication date:	12/04/2003
Series:	London Mathematical Society Student Texts , #59
Pages:	258
Product dimensions:	5.98(w) x 9.02(h) x 0.75(d)

Table of Contents

1. Cobordisms and TQFTs; 2. Frobenius algebras; 3. Monoids and monoidal categories; Appendix. Vocabulary from category theory.

Editorial Reviews

"This book is a solid introduction to some important ideas of contemporary interest. Is is very pleasant to read, and its ample collection of exercises includes interesting examples in addition to tests of basic understanding."
Lowell Abrams, Mathematical Reviews

From the Publisher