The non-commutative Weil algebra

Non Commutative Chern - Weil Homomorphism

Non-commutative combinatorial algebra

Non-commutative Chern-weil Theory and the Combinatorics of Wheeling

This work applies the ideas of Alekseev and Meinrenken’s Noncommutative Chern-Weil Theory to describe a completely combinatorial and constructive proof of the Wheeling Theorem. In this theory, the crux of the proof is, essentially, the familiar demonstration that a characteristic class does not depend on the choice of connection made to construct it. To a large extent this work may be viewed as...

Towards the Chern-weil Homomorphism in Non Commutative Differential Geometry

In this short review article we sketch some developments which should ultimately lead to the analogy of the Chern-Weil homomorphism for principle 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...

TOWARDS THE CHERN - WEIL HOMOMORPHISMIN NON COMMUTATIVE DIFFERENTIAL GEOMETRYAndreas