Frobenius Algebras and 2-D Topological Quantum Field Theories

Frobenius Algebras and 2-D Topological Quantum Field Theories
Author :
Publisher : Cambridge University Press
Total Pages : 260
Release :
ISBN-10 : 0521540313
ISBN-13 : 9780521540315
Rating : 4/5 (315 Downloads)

Book Synopsis Frobenius Algebras and 2-D Topological Quantum Field Theories by : Joachim Kock

Download or read book Frobenius Algebras and 2-D Topological Quantum Field Theories written by Joachim Kock and published by Cambridge University Press. This book was released on 2004 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Frobenius Algebras and 2-D Topological Quantum Field Theories Related Books

Frobenius Algebras and 2-D Topological Quantum Field Theories
Language: en
Pages: 260
Authors: Joachim Kock
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Cambridge University Press

GET EBOOK

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Fro
Frobenius Algebras and 2D Topological Quantum Field Theories
Language: en
Pages: 240
Authors: Joachim Kock
Categories: Algebraic topology
Type: BOOK - Published: 2003 - Publisher:

GET EBOOK

Proves striking results connecting topology and algebra and shows how the result fits into a more general pattern. The book will prove valuable to students or r
Lectures on Field Theory and Topology
Language: en
Pages: 202
Authors: Daniel S. Freed
Categories: Mathematics
Type: BOOK - Published: 2019-08-23 - Publisher: American Mathematical Soc.

GET EBOOK

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. Whi
Dirichlet Branes and Mirror Symmetry
Language: en
Pages: 698
Authors:
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

GET EBOOK

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This
Homotopy Quantum Field Theory
Language: en
Pages: 300
Authors: Vladimir G. Turaev
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: European Mathematical Society

GET EBOOK

Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physi