Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks

Biswas, Indranil; Neumann, Frank

doi:10.1016/j.crma.2013.10.038

Geometry/Differential geometry

Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks
[Suites dʼAtiyah, connexions et formes caractéristiques pour les fibrés principaux sur les groupoïdes et les champs]

Présenté par : Étienne Ghys

Biswas, Indranil ¹ ; Neumann, Frank ²

¹ School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
² Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom

Comptes Rendus. Mathématique, Tome 352 (2014) no. 1, pp. 59-64.

Résumé
Abstract

Nous construisons les connexions et formes caractéristiques pour les fibrés principaux sur les groupoïdes et les champs dans la catégorie différentiable, holomorphe et algébrique à lʼaide des suites dʼAtiyah associées aux distributions transversales tangentielles.

We construct connections and characteristic forms for principal bundles over groupoids and stacks in the differentiable, holomorphic and algebraic category using Atiyah exact sequences associated with transversal tangential distributions.

Reçu le : 2012-09-05
Accepté le : 2013-10-28
Publié le : 2013-11-21

DOI : 10.1016/j.crma.2013.10.038

Affiliations des auteurs :

Biswas, Indranil ¹ ; Neumann, Frank ²

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Biswas, Indranil; Neumann, Frank. Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks. Comptes Rendus. Mathématique, Tome 352 (2014) no. 1, pp. 59-64. doi : 10.1016/j.crma.2013.10.038. http://www.numdam.org/articles/10.1016/j.crma.2013.10.038/

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