Algebraic index theorem
type: Item
instance of: scholarly article
title: Algebraic index theorem
zbMATH Open document ID: 0887.58050
DOI: 10.1007/BF02099427
author: Ryszard Nest
author: Boris Tsygan
published in: Communications in Mathematical Physics
publication date: 1998-05-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 53D55
zbMATH DE Number: 850564
zbMATH Keywords: Atiyah-Singer index theorem
zbMATH Keywords: deformation quantization
zbMATH Keywords: algebra of functions on a symplectic manifold
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 850564