Algebraic index theorem
This paper is the first in a series aimed at providing an algebraic insight to various Atiyah-Singer type index theorems: We prove the Atiyah-Singer index theorem where the algebra of pseudo-differential operators is replaced by an arbitrary deformation quantization of the algebra of functions on a symplectic manifold.
algebra of functions on a symplectic manifold
scientific article; zbMATH DE number 850564
scientific article