Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem (Q796163)
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scientific article; zbMATH DE number 3864161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem |
scientific article; zbMATH DE number 3864161 |
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Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem (English)
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1983
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Some results on Clifford algebras and the spinor representation, as well as an extension of a symbol calculus on spin manifolds to pseudodifferential operators are combined to simplify the proof of the Atiyah-Singer index theorem for the Dirac operator on a spin manifold.
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Clifford algebras
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spinor representation
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spin manifolds
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pseudodifferential operators
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Atiyah-Singer index theorem
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Dirac operator
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