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Infinitesimal index: cohomology computations

2010/05/02 by Corrado De Concini, Claudio Procesi, De Concini, Corrado +4
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.1005.0128

openalex publication_date 2010/05/02 · arxiv created 2011/03/29 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note several computations of equivariant cohomology groups are performed. For the compactly supported equivariant cohomology, the notion of infinitesimal index developed in arXiv:1003.3525, allows to describe these groups in terms of certain spaces of distributions arising in the theory of splines. The new version contains a large number of improvements.

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