Abelian homotopy Dijkgraaf-Witten theory

Søren Kold Hansen; Joost Slingerland; Paul Turner

doi:10.4310/ATMP.2005.v9.n2.a5

Abelian homotopy Dijkgraaf-Witten theory

Søren Kold Hansen, Joost Slingerland, Paul Turner

Research output: Contribution to journal › Journal article › Research › 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 theory based on U( 1) classifies lens spaces up to homotopy type.

Original language	English
Journal	Advances in Theoretical and Mathematical Physics
Volume	9
Issue number	2
Pages (from-to)	321-353
ISSN	1095-0761
DOIs	https://doi.org/10.4310/ATMP.2005.v9.n2.a5
Publication status	Published - 2005
Externally published	Yes

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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 theory based on U( 1) classifies lens spaces up to homotopy type.",

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AU - Turner, Paul

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AB - 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.

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DO - 10.4310/ATMP.2005.v9.n2.a5

M3 - Journal article

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VL - 9

SP - 321

EP - 353

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

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Abelian homotopy Dijkgraaf-Witten theory

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