WorldCat Identities

Müger, Michael

Works: 1 works in 5 publications in 1 language and 41 library holdings
Classifications: QA612.7, 514.24
Publication Timeline
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 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
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.74 (from 0.74 for Homotopy q ... to 0.74 for Homotopy q ...)

WorldCat IdentitiesRelated Identities
Homotopy quantum field theory
Alternative Names
Müger, Michael