4 citations · 5 across the 4 of their papers we have counts for
3 papers · 1 filter
Cyclic cocycles on deformation quantizations and higher index theorems
M. Pflaum, H. Posthuma, X. Tang
We construct a nontrivial cyclic cocycle on the Weyl algebra of a symplectic vector space. Using this cyclic cocycle we construct an explicit, local, quasi-isomorphism from the com…
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…