145 citations · 1.3k across the 104 of their papers we have counts for
20 papers · 1 filter
A quantum-group-like structure on noncommutative 2-tori
Andreas Cap, Peter W. Michor, Hermann Schichl
In this paper we show that in the case of noncommutative two-tori one gets in a natural way simple structures which have analogous formal properties as Hopf algebra structures but…
Radon transform and curvature
Peter W. Michor
We interpret the setting for a Radon transform as a submanifold of the space of generalized functions, and compute its extrinsic curvature: it is the Hessian composed with the Rado…
Characteristic classes for -structures
Dimitri Alekseevsky, Peter W. Michor
Let be a linear Lie group with Lie algebra and let be the subalgebra of -invariant elements of the associative supercommutative algebra…
Towards the Chern-Weil homomormism in non-commutative differential geometry
Andreas Cap, Peter W. Michor
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-commut…
The Frölicher-Nijenhuis bracket in non-commutative differential geometry
Andreas Cap, Andreas Kriegl, Peter W. Michor +1
We carry over to a quite general noncommutative setting some of the basic tools of differential geometry, using from the very beginning the setting of convenient vector spaces deve…
More smoothly real compact spaces
Andreas Kriegl, Peter W. Michor
A topological space is called $\Cal A$-real compact, if every algebra homomorphism from $\Cal A$ to the reals is an evaluation at some point of , where $\Cal A$ is an algebr…