S1-fibrés et gerbes sur des champs différentiables

Kai Behrend; Ping Xu

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

S¹-fibrés et gerbes sur des champs différentiables

Translated title of the contribution: S¹-bundles and gerbes over differentiable stacks

Kai Behrend, Ping Xu

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

14 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.

Translated title of the contribution	S¹-bundles and gerbes over differentiable stacks
Original language	French
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

Mathematics(all)

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

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title = "S1-fibr{\'e}s et gerbes sur des champs diff{\'e}rentiables",

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.",

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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.

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

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

M3 - Article

AN - SCOPUS:0037849908

SN - 1631-073X

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EP - 168

JO - Comptes Rendus Mathematique

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IS - 2

ER -

S¹-fibrés et gerbes sur des champs différentiables

Abstract

All Science Journal Classification (ASJC) codes

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