Atiyah sequences, connections and Chern-Weil theory for algebraic and differentiable stacks

2013/11/19 by Indranil Biswas, Frank Neumann, Biswas, Indranil +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1311.4673

Appeared in Comptes Rendus Mathématique

arxiv created 2013/11/26 · arxiv updated 2013/11/27

Abstract

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

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• Atiyah constructions for Lie algebroid connections on fiber bundles

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