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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Lens Space
Homotopy Type
Quantum Field Theory
Homotopy
Abelian group
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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.
Hansen, Søren K. ; Slingerland, Johannes K. ; Turner, Paul R. / Abelian homotopy Dijkgraaf-Witten theory. In: Advances in Theoretical and Mathematical Physics. 2005 ; Vol. 9, No. 2. pp. 321-353.
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Hansen, SK, Slingerland, JK & Turner, PR 2005, 'Abelian homotopy Dijkgraaf-Witten theory', Advances in Theoretical and Mathematical Physics, vol. 9, no. 2, pp. 321-353.

Abelian homotopy Dijkgraaf-Witten theory. / Hansen, Søren K.; Slingerland, Johannes K.; Turner, Paul R.

In: Advances in Theoretical and Mathematical Physics, Vol. 9, No. 2, 04.2005, p. 321-353.

Research output: Contribution to journalArticle

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Hansen SK, Slingerland JK, Turner PR. Abelian homotopy Dijkgraaf-Witten theory. Advances in Theoretical and Mathematical Physics. 2005 Apr;9(2):321-353.