41 citations · 263 across the 42 of their papers we have counts for
4 papers · 1 filter
Quantization of Whitney functions
M. J. Pflaum, H. Posthuma, X. Tang
We propose to study deformation quantizations of Whitney functions. To this end, we extend the notion of a deformation quantization to algebras of Whitney functions over a singular…
On the algebraic index for riemannian étale groupoids
M. J. Pflaum, H. Posthuma, X. Tang
In this paper we construct an explicit quasi-isomorphism to study the cyclic cohomology of a deformation quantization over a riemannian étale groupoid. Such a quasi-isomorphism all…
On the existence of star products on quotient spaces of linear Hamiltonian torus actions
Hans-Christian Herbig, Srikanth B. Iyengar, Markus J. Pflaum
We discuss BFV deformation quantization of singular symplectic quotient spaces in the special case of linear Hamiltonian torus actions. In particular, we show that the Koszul compl…
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…