S1-bundles and gerbes over differentiable stacks

Kai Behrend; Ping Xu

doi:10.1016/S1631-073X(02)00025-0

S¹-bundles and gerbes over differentiable stacks

Kai Behrend
, Ping Xu

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

17 Scopus citations

Abstract

We study S¹-bundles and S¹-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature.

Original language	English (US)
Pages (from-to)	163-168
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	2
DOIs	https://doi.org/10.1016/S1631-073X(02)00025-0
State	Published - Jan 15 2003

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/S1631-073X(02)00025-0

Cite this

@article{409fdd82020d4d5ab91f040c022283f7,

title = "S1-bundles and gerbes over differentiable stacks",

abstract = "We study S1-bundles and S1-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature.",

author = "Kai Behrend and Ping Xu",

note = "Funding Information: We thank the Research Institute for the Mathematical Sciences in Kyoto, the Ecole Polytechnique and Peking University 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.",

year = "2003",

month = jan,

day = "15",

doi = "10.1016/S1631-073X(02)00025-0",

language = "English (US)",

volume = "336",

pages = "163--168",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "2",

}

TY - JOUR

T1 - S1-bundles and gerbes over differentiable stacks

AU - Behrend, Kai

AU - Xu, Ping

N1 - Funding Information: We thank the Research Institute for the Mathematical Sciences in Kyoto, the Ecole Polytechnique and Peking University 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 - 2003/1/15

Y1 - 2003/1/15

N2 - We study S1-bundles and S1-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature.

AB - We study S1-bundles and S1-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature.

UR - https://www.scopus.com/pages/publications/0037849908

UR - https://www.scopus.com/pages/publications/0037849908#tab=citedBy

U2 - 10.1016/S1631-073X(02)00025-0

DO - 10.1016/S1631-073X(02)00025-0

M3 - Article

AN - SCOPUS:0037849908

SN - 1631-073X

VL - 336

SP - 163

EP - 168

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 2

ER -

S¹-bundles and gerbes over differentiable stacks

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this