Equivariant Dixmier-Douady classes

Mathieu Stiénon

doi:10.4310/MRL.2010.v17.n1.a10

Equivariant Dixmier-Douady classes

Mathieu Stiénon

Mathematics

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

5 Scopus citations

Abstract

An equivariant bundle gerbe ̀a la Meinrenken over a G-manifold M is known to be a special type of S¹-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe ̀a la Meinrenken to the Behrend-Xu-Dixmier- Douady class of the corresponding S¹-gerbe.

Original language	English (US)
Pages (from-to)	127-145
Number of pages	19
Journal	Mathematical Research Letters
Volume	17
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2010.v17.n1.a10
State	Published - Jan 2010

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.4310/MRL.2010.v17.n1.a10

Cite this

@article{4d76a662e4c84b5a9e3d8af15877332c,

title = "Equivariant Dixmier-Douady classes",

abstract = "An equivariant bundle gerbe{\` }a la Meinrenken over a G-manifold M is known to be a special type of S1-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe{\` }a la Meinrenken to the Behrend-Xu-Dixmier- Douady class of the corresponding S1-gerbe.",

author = "Mathieu Sti{\'e}non",

year = "2010",

month = jan,

doi = "10.4310/MRL.2010.v17.n1.a10",

language = "English (US)",

volume = "17",

pages = "127--145",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "1",

}

TY - JOUR

T1 - Equivariant Dixmier-Douady classes

AU - Stiénon, Mathieu

PY - 2010/1

Y1 - 2010/1

N2 - An equivariant bundle gerbe ̀a la Meinrenken over a G-manifold M is known to be a special type of S1-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe ̀a la Meinrenken to the Behrend-Xu-Dixmier- Douady class of the corresponding S1-gerbe.

AB - An equivariant bundle gerbe ̀a la Meinrenken over a G-manifold M is known to be a special type of S1-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe ̀a la Meinrenken to the Behrend-Xu-Dixmier- Douady class of the corresponding S1-gerbe.

UR - http://www.scopus.com/inward/record.url?scp=77249111255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77249111255&partnerID=8YFLogxK

U2 - 10.4310/MRL.2010.v17.n1.a10

DO - 10.4310/MRL.2010.v17.n1.a10

M3 - Article

AN - SCOPUS:77249111255

SN - 1073-2780

VL - 17

SP - 127

EP - 145

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 1

ER -

Equivariant Dixmier-Douady classes

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this