Frobenius Algebras and 2-D Topological Quantum Field Theories

Joachim Kock

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Language: English

Published by Cambridge University Press, GB, 2003

0521540313 / 9780521540315

Series: Book 44 of 83 - London Mathematical Society Student Texts

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This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the 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. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work.

Seller Inventory # LU-9780521540315

Title
Frobenius Algebras and 2-D Topological Quantum Field Theories
Author
Joachim Kock
Publisher
Cambridge University Press, GB
Publication year
2003
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521540313
ISBN 13
9780521540315
Item weight
370 grams
Series
Book 44 of 83: London Mathematical Society Student Texts

Rarewaves.com USA

London, London, United Kingdom

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