4 citations · 8 across the 4 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…
A Counter Example of Invariant Deformation Quantization
Xiang Tang
In this note, we will show one example of hamiltonian Lie algebra action which has no invariant star product.
Deformation Quantization of Pseudo Symplectic(Poisson) Groupoids
Xiang Tang
We introduce a new kind of groupoid--a pseudo étale groupoid, which provides many interesting examples of noncommutative Poisson algebras as defined by Block, Getzler, and Xu. Foll…
Statistical Thermodynamics of General Minimal Diffusion Processes: Constuction, Invariant Density, Reversibility and Entropy Production
Hong Qian, Min Qian, Xiang Tang
The solution to nonlinear Fokker-Planck equation is constructed in terms of the minimal Markov semigroup generated by the equation. The semigroup is obtained by a purely functional…