41 citations · 263 across the 42 of their papers we have counts for
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Differential calculi on noncommutative bundles
Markus J. Pflaum, Peter Schauenburg
We introduce a category of noncommutative bundles. To establish geometry in this category we construct suitable noncommutative differential calculi on these bundles and study their…
Holomorphic deformation of Hopf algebras and applications to quantum groups
Markus J. Pflaum, Martin Schottenloher
In this article we propose a new and so-called holomorphic deformation scheme for locally convex algebras and Hopf algebras. Essentially we regard converging power series expansion…
The normal symbol on Riemannian manifolds
Markus J. Pflaum
For an arbitrary Riemannian manifold and Hermitian vector bundles and over we define the notion of the normal symbol of a pseudodifferential operator from t…
A new concept of deformation quantization, I. Normal order quantization on cotangent bundles
Markus J. Pflaum
In this work we give a deformation theoretical approach to the problem of quantization. First the notion of a deformation of a noncommutative ringed space over a commutative locall…