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Equivariant Differential Cohomology

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: We will show
the compatibility of the equivariant characteristic class in integral
Borel cohomology with the equivariant characteristic form in the Cartan
model. Motivated by this understanding of characteristic forms, we
define equivariant differential cohomology as a refinement of
equivariant integral cohomology by Cartan cocycles.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:15-qucosa-185772
Date03 November 2015
CreatorsKübel, Andreas
ContributorsUniversität Leipzig,, Prof. Dr. Andreas Thom, Prof. Dr. Thomas Schick
PublisherUniversitätsbibliothek Leipzig
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf

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