[Suites dʼAtiyah, connexions et formes caractéristiques pour les fibrés principaux sur les groupoïdes et les champs]
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.
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@article{CRMATH_2014__352_1_59_0,
author = {Indranil Biswas and Frank Neumann},
title = {Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks},
journal = {Comptes Rendus. Math\'ematique},
pages = {59--64},
publisher = {Elsevier},
volume = {352},
number = {1},
year = {2014},
doi = {10.1016/j.crma.2013.10.038},
language = {en},
}
TY - JOUR AU - Indranil Biswas AU - Frank Neumann TI - Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks JO - Comptes Rendus. Mathématique PY - 2014 SP - 59 EP - 64 VL - 352 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2013.10.038 LA - en ID - CRMATH_2014__352_1_59_0 ER -
Indranil Biswas; Frank Neumann. Atiyah sequences, connections and characteristic forms for principal bundles over groupoids and stacks. Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 59-64. doi : 10.1016/j.crma.2013.10.038. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.038/
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