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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
67/2015

Equivariant Differential Cohomology

Andreas Kübel

Abstract

The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology. We will discuss the analog in the case of a group action on the manifold: The definition of equivariant characteristic forms in the Cartan model due to [BerlineVergne] motivates a refinement of equivariant integral cohomology by all Cartan cocycles. In view of this, we will also review previous definitions critically, in particular the one given in [Gomi].

Received:
Oct 25, 2015
Published:
Oct 26, 2015

Related publications

inJournal
2018 Repository Open Access
Andreas Berthold Thom and Andreas Kübel

Equivariant differential cohomology

In: Transactions of the American Mathematical Society, 370 (2018) 11, pp. 8237-8283