[Gerbes equivariantes sur les groupes de Lie simples compacts]
En utilisant des extensions S1-centrales de groupoı̈des, nous présentons, dans le cas d'un groupe simple compact G, un modèle de dimension infinie d'une S1-gerbe sur un champ différentiable G/G dont la classe de Dixmier–Douady correspond au générateur canonique de la cohomologie équivariante HG3(G).
Using groupoid S1-central extensions, we present, for a compact simple Lie group G, an infinite dimensional model of S1-gerbe over the differential stack G/G whose Dixmier–Douady class corresponds to the canonical generator of the equivariant cohomology HG3(G).
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@article{CRMATH_2003__336_3_251_0,
author = {Behrend, Kai and Xu, Ping and Zhang, Bin},
title = {Equivariant gerbes over compact simple {Lie} groups},
journal = {Comptes Rendus. Math\'ematique},
pages = {251--256},
publisher = {Elsevier},
volume = {336},
number = {3},
year = {2003},
doi = {10.1016/S1631-073X(02)00024-9},
language = {en},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(02)00024-9/}
}
TY - JOUR AU - Behrend, Kai AU - Xu, Ping AU - Zhang, Bin TI - Equivariant gerbes over compact simple Lie groups JO - Comptes Rendus. Mathématique PY - 2003 SP - 251 EP - 256 VL - 336 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(02)00024-9/ DO - 10.1016/S1631-073X(02)00024-9 LA - en ID - CRMATH_2003__336_3_251_0 ER -
%0 Journal Article %A Behrend, Kai %A Xu, Ping %A Zhang, Bin %T Equivariant gerbes over compact simple Lie groups %J Comptes Rendus. Mathématique %D 2003 %P 251-256 %V 336 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(02)00024-9/ %R 10.1016/S1631-073X(02)00024-9 %G en %F CRMATH_2003__336_3_251_0
Behrend, Kai; Xu, Ping; Zhang, Bin. Equivariant gerbes over compact simple Lie groups. Comptes Rendus. Mathématique, Tome 336 (2003) no. 3, pp. 251-256. doi : 10.1016/S1631-073X(02)00024-9. http://www.numdam.org/articles/10.1016/S1631-073X(02)00024-9/
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