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Towards the Chern-Weil homomormism in non-commutative differential geometry

Andreas Cap·Peter W. Michor
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Abstract

In this short review article we sketch some developments which should ultimately lead to the analogy of the Chern-Weil homomorphism for principal bundles in the realm of non-commutative differential geometry. Principal bundles there should have Hopf algebras as structure `cogroups'. Since the usual machinery of Lie algebras, connection forms, etc\., just is not available in this setting, we base our approach on the Fr\"olicher--Nijenhuis bracket.

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BibTeXRIS

Andreas Cap, Peter W. Michor. 1992-08-01. Towards the Chern-Weil homomormism in non-commutative differential geometry. https://arxiv.org/abs/math/9208203

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