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math.DG2000
Local formula for the index of a Fourier Integral Operator
Eric Leichtnam, Ryszard Nest, Boris Tsygan
We show that the index of an elliptic Fourier integral operator associated to a contact diffeomorphism of cosphere bundles of two Riemannian manifolds X and Y is given by $\int…
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.