Müger, Michael
Overview
Works:  1 works in 5 publications in 1 language and 41 library holdings 

Classifications:  QA612.7, 514.24 
Publication Timeline
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Most widely held works by
Michael Müger
Homotopy quantum field theory by
V. G Turaev(
Book
)
5 editions published in 2010 in English and held by 41 WorldCat member libraries worldwide
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 2dimensional and 3dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius groupalgebras, crossed ribbon groupcategories, and Hopf groupcoalgebras. 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 selfcontained and well suited for a onesemester graduate course. Prerequisites include only basics of algebra and topology
5 editions published in 2010 in English and held by 41 WorldCat member libraries worldwide
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 2dimensional and 3dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius groupalgebras, crossed ribbon groupcategories, and Hopf groupcoalgebras. 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 selfcontained and well suited for a onesemester graduate course. Prerequisites include only basics of algebra and topology
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