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math.QA2000
Polarized deformation quantization
P. Bressler, J. Donin
Let be a star product on a symplectic manifold , its Fedosov class, where is a deformation of . We prove that for a complex polarization of $…
math.KT2000
Riemann-Roch via deformation quantization, II
Paul Bressler, Ryszard Nest, Boris Tsygan
We prove a Riemann-Roch formula for deformation quantization of complex manifolds and its corollary, an index theorem for elliptic pairs conjectured by Schapira and Schneiders.
math.AG2000
Intersection cohomology on nonrational polytopes
Paul Bressler, Valery A. Lunts
Viewing a fan as a partially ordered set (of cones) we consider a category of sheaves on the fan which corresponds to a category of equivariant sheaves on the corresponding toric v…