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Field name	Details
Title	Homotopy Quantum Field Theory ([EBook] :) : With Appendices by Michael Müger and Alexis Virelizier / / Vladimir Turaev
Author	Turaev, Vladimir
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2010
Physical Details	1 online resource (290 pages)
Series	EMS Tracts in Mathematics (ETM) ; 10
ISBN	9783037195864
Summary Note	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.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/086
See Also	https://www.ems-ph.org/img/books/turaev_mini.jpg
Links to Related Works	Subject References: Algebraic Topology . Associative Rings and Algebras . Category Theory, Homological Algebra . Manifolds and Cell Complexes . Quantum theory . Authors: author . Turaev, Vladimir . Series: EMS Tracts in Mathematics (ETM) .

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

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