Abelian homotopy Dijkgraaf-Witten theory

Søren Kold Hansen, Joost Slingerland, Paul Turner

Research output: Contribution to journalJournal articleResearchpeer-review


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 theory based on U( 1) classifies lens spaces up to homotopy type.
Original languageEnglish
JournalAdvances in Theoretical and Mathematical Physics
Issue number2
Pages (from-to)321-353
Publication statusPublished - 2005
Externally publishedYes

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