Abelian homotopy Dijkgraaf-Witten theory

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)321-353
Number of pages33
JournalAdvances in Theoretical and Mathematical Physics
Volume9
Issue number2
Publication statusPublished - Apr 2005

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    Hansen, S. K., Slingerland, J. K., & Turner, P. R. (2005). Abelian homotopy Dijkgraaf-Witten theory. Advances in Theoretical and Mathematical Physics, 9(2), 321-353.