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Homotopy Quantum Field Theory = With...

Turaev, Vladimir,

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Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Homotopy Quantum Field Theory/ Vladimir Turaev
Reminder of title:	With Appendices by Michael Müger and Alexis Virelizier /
Author:	Turaev, Vladimir,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
Description:	1 online resource (290 pages)
Subject:	Algebraic topology - Congresses. -
Online resource:	https://doi.org/10.4171/086
Online resource:	https://www.ems-ph.org/img/books/turaev_mini.jpg
ISBN:	9783037195864

Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /
Turaev, Vladimir,

Homotopy Quantum Field TheoryWith Appendices by Michael Müger and Alexis Virelizier /[electronic resource] :Vladimir Turaev - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (290 pages) - EMS Tracts in Mathematics (ETM)10.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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 physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on 2-dimensional and 3-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Müger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.

ISBN: 9783037195864

Standard No.: 10.4171/086doiSubjects--Topical Terms:

1575359
Algebraic topology
--Congresses.

Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /
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