Algebraic index theorem (Q1908055)
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scientific article; zbMATH DE number 850564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic index theorem |
scientific article; zbMATH DE number 850564 |
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Algebraic index theorem (English)
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11 May 1998
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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.
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Atiyah-Singer index theorem
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deformation quantization
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algebra of functions on a symplectic manifold
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