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Mathematics > Geometric Topology

arXiv:0706.0160 (math)
[Submitted on 1 Jun 2007 (v1), last revised 28 Jun 2007 (this version, v2)]

Title:Dijkgraaf-Witten invariants of surfaces and projective representations of groups

Authors:Vladimir Turaev
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Abstract: We compute the Dijkgraaf-Witten invariants of surfaces in terms of projective representations of groups. As an application we prove that the complex Dijkgraaf-Witten invariants of surfaces of positive genus are positive integers.
Comments: second version: a mistake corrected in the non-orientable case and a few improvements added
Subjects: Geometric Topology (math.GT); Representation Theory (math.RT)
MSC classes: 57R56, 81T45, 20C25
Cite as: arXiv:0706.0160 [math.GT]
  (or arXiv:0706.0160v2 [math.GT] for this version)
  https://doi.org/10.48550/arXiv.0706.0160
Related DOI: https://doi.org/10.1016/j.geomphys.2007.08.009

Submission history

From: Vladimir Turaev [view email]
[v1] Fri, 1 Jun 2007 13:47:38 UTC (16 KB)
[v2] Thu, 28 Jun 2007 11:32:20 UTC (16 KB)
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