On elliptic genera and theta-functions (Q1918436)
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scientific article; zbMATH DE number 912192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On elliptic genera and theta-functions |
scientific article; zbMATH DE number 912192 |
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On elliptic genera and theta-functions (English)
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2 April 1997
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The author gives a unified new proof of the Witten rigidity theorem for some elliptic operators commuting with a circle action. He makes essential use of a new feature of loop spaces and loop groups, the modular invariance. Actually he shows that modular invariance implies rigidity. Some new properties of elliptic genera and their relationships with theta functions are also discussed.
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Witten rigidity theorem
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elliptic operators
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loop spaces
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loop groups
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elliptic genera
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theta functions
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