67 citations · 204 across the 35 of their papers we have counts for
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math.DG2013
Quantization of Whitney functions and reduction
Markus J. Pflaum, Hessel Posthuma, Xiang Tang
For a possibly singular subset of a regular Poisson manifold we construct a deformation quantization of its algebra of Whitney functions. We then extend the construction of a defor…
math.DG2013
The index of geometric operators on Lie groupoids
M. J. Pflaum, H. Posthuma, X. Tang
We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra of a Lie groupoid previously proved by the authors. We prove a Thom isomorphism…
math.DG2013★ 1 cited
The transverse index theorem for proper cocompact actions of Lie groupoids
M. J. Pflaum, H. Posthuma, X. Tang
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We pr…