### 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 |
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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 |

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## Cite this

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.