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Equivariant gerbes over compact simple Lie groups

Symplectic Geometry 2007-05-23 v1 Mathematical Physics Algebraic Geometry Logic math.MP

Abstract

Using groupoid S1S^1-central extensions, we present, for a compact simple Lie group GG, an infinite dimensional model of S1S^1-gerbe over the differential stack G/GG/G whose Dixmier-Douady class corresponds to the canonical generator of the equivariant cohomology HG3(G,Z)H_G^3 (G, Z).

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Cite

@article{arxiv.math/0306183,
  title  = {Equivariant gerbes over compact simple Lie groups},
  author = {Kai Behrend and Ping Xu and Bin Zhang},
  journal= {arXiv preprint arXiv:math/0306183},
  year   = {2007}
}

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6 pages