Frobenius Algebras and 2D Topological Quantum Field Theories

ISBN-13: 9780521540315 / Angielski / Miękka / 2003 / 258 str.

Joachim Kock; C. M. Series; J. W. Bruce

Opis

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.

Recenzje

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

Spis treści

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