4 citations · 5 across the 3 of their papers we have counts for
5 papers
An algebraic index theorem for orbifolds
Markus J. Pflaum, Hessel Posthuma, Xiang Tang
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem…
Homology of formal deformations of proper etale Lie groupoids
Nikolai Neumaier, Markus J. Pflaum, Hessel Posthuma +1
In this article, the cyclic homology theory of formal deformation quantizations of the convolution algebra associated to a proper etale Lie groupoid is studied. We compute the Hoch…
On the deformation quantization of symplectic orbispaces
Markus J. Pflaum
In the first part of this article we provide a geometrically oriented approach to the theory of orbispaces which originally had been introduced by Chen. We explain the notion of a…
On representations of star product algebras over cotangent spaces on Hermitian line bundles
Martin Bordemann, Nikolai Neumaier, Markus J. Pflaum +1
For every formal power series of closed two-forms on a manifold and every value of an ordering parameter we construct a concrete star produ…
Traces on algebras of parameter dependent pseudodifferential operators and the eta-invariant
Matthias Lesch, Markus J. Pflaum
We identify Melrose's suspended algebra of pseudodifferential operators with a subalgebra of the algebra of parametric pseudodifferential operators with parameter space . For a…