Geodesic
Differential Geometry
S1-bundles and gerbes over differentiable stacks
[S1-fibrés et gerbes sur des champs différentiables]
Présenté par : Charles-Michel Marle
Behrend, Kai1 ; Xu, Ping2
1 Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver BC, V6T IZ2, Canada
2 Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
Comptes Rendus. Mathématique, Tome 336 (2003) no. 2, pp. 163-168

Voir la notice de l'article provenant de la source Numdam

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.

Nous étudions les S1-fibrés et les S1-gerbes sur des champs différentiables en termes de groupoı̈des de Lie et nous construisons les classes de Chern et Dixmier–Douady en termes d'analogues des connexions et de leur courbure.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)00025-0

Behrend, Kai 1 ; Xu, Ping 2

1 Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver BC, V6T IZ2, Canada
2 Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA 
@article{CRMATH_2003__336_2_163_0,
     author = {Behrend, Kai and Xu, Ping},
     title = {\protect\emph{S}\protect\textsuperscript{1}-bundles and gerbes over differentiable stacks},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {163--168},
     publisher = {Elsevier},
     volume = {336},
     number = {2},
     year = {2003},
     doi = {10.1016/S1631-073X(02)00025-0},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)00025-0/}
}
TY  - JOUR
AU  - Behrend, Kai
AU  - Xu, Ping
TI  - S1-bundles and gerbes over differentiable stacks
JO  - Comptes Rendus. Mathématique
PY  - 2003
SP  - 163
EP  - 168
VL  - 336
IS  - 2
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)00025-0/
DO  - 10.1016/S1631-073X(02)00025-0
LA  - en
ID  - CRMATH_2003__336_2_163_0
ER  - 
%0 Journal Article
%A Behrend, Kai
%A Xu, Ping
%T S1-bundles and gerbes over differentiable stacks
%J Comptes Rendus. Mathématique
%D 2003
%P 163-168
%V 336
%N 2
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(02)00025-0/
%R 10.1016/S1631-073X(02)00025-0
%G en
%F CRMATH_2003__336_2_163_0
Behrend, Kai; Xu, Ping. S1-bundles and gerbes over differentiable stacks. Comptes Rendus. Mathématique, Tome 336 (2003) no. 2, pp. 163-168. doi: 10.1016/S1631-073X(02)00025-0

Cité par Sources :