Equivariant gerbes over compact simple Lie groups

Kai Behrend; Ping Xu; Bin Zhang

doi:10.1016/S1631-073X(02)00024-9

Equivariant gerbes over compact simple Lie groups

Kai Behrend
, Ping Xu
, Bin Zhang

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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 H_G³(G).

Original language	English (US)
Pages (from-to)	251-256
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	3
DOIs	https://doi.org/10.1016/S1631-073X(02)00024-9
State	Published - Feb 1 2003

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S1631-073X(02)00024-9

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title = "Equivariant gerbes over compact simple Lie groups",

abstract = "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).",

author = "Kai Behrend and Ping Xu and Bin Zhang",

note = "Funding Information: We thank Eckhard Meinrenken and Alan Weinstein for useful discussions, and Pierre Bieliavsky for his help in preparing the French abbreviated version. We also thank the Ecole Polytechnique for hospitality and support of the research summarized in this Note. This research is partially supported by NSF grant DMS00-72171 and NSERC grant 22R81946.",

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doi = "10.1016/S1631-073X(02)00024-9",

language = "English (US)",

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T1 - Equivariant gerbes over compact simple Lie groups

AU - Behrend, Kai

AU - Xu, Ping

AU - Zhang, Bin

N1 - Funding Information: We thank Eckhard Meinrenken and Alan Weinstein for useful discussions, and Pierre Bieliavsky for his help in preparing the French abbreviated version. We also thank the Ecole Polytechnique for hospitality and support of the research summarized in this Note. This research is partially supported by NSF grant DMS00-72171 and NSERC grant 22R81946.

PY - 2003/2/1

Y1 - 2003/2/1

N2 - 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).

AB - 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).

UR - https://www.scopus.com/pages/publications/0038729433

UR - https://www.scopus.com/pages/publications/0038729433#tab=citedBy

U2 - 10.1016/S1631-073X(02)00024-9

DO - 10.1016/S1631-073X(02)00024-9

M3 - Article

AN - SCOPUS:0038729433

SN - 1631-073X

VL - 336

SP - 251

EP - 256

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 3

ER -

Equivariant gerbes over compact simple Lie groups

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