Abelian homotopy Dijkgraaf-Witten theory

Søren K. Hansen; Johannes K. Slingerland; Paul R. Turner

Abelian homotopy Dijkgraaf-Witten theory

Søren K. Hansen, Johannes K. Slingerland, Paul R. Turner

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. © 2005 International Press.

Original language	English
Pages (from-to)	321-353
Number of pages	33
Journal	Advances in Theoretical and Mathematical Physics
Volume	9
Issue number	2
Publication status	Published - Apr 2005

Cite this

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title = "Abelian homotopy Dijkgraaf-Witten theory",

abstract = "We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. {\textcopyright} 2005 International Press.",

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Abelian homotopy Dijkgraaf-Witten theory

Abstract

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