(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.