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Algebraic index theorem
Authors:Ryszard Nest  Boris Tsygan
Affiliation:(1) University of Copenhagen, 218 McAllister Building, 16802 University Park, PA, USA;(2) Department of Mathematics, Eberly College of Science, Pernnsylvania State University, 218 McAllister Building, 16802 University Park, PA, USA
Abstract:
We prove the Atiyah-Singer index theorem where the algebra of pseudodifferential operators is replaced by an arbitrary deformation quantization of the algebra of functions on a symplectic manifold.Partially supported by NSF Grant DMS-9101817.
Keywords:
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