Localization for invariant submanifolds (Q5945792)
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scientific article; zbMATH DE number 1657630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Localization for invariant submanifolds |
scientific article; zbMATH DE number 1657630 |
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Localization for invariant submanifolds (English)
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10 March 2002
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circle action
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localization theorem
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symplectic geometry
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Jeffrey-Kirwan localization theorem
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Let \( M \) be a smooth manifold with an equivariant formal circle action and \( W \) an invariant submanifold of \( M \) which does not contain the fixed points of the action. NEWLINENEWLINENEWLINEThe author presents a new localization theorem which expresses the integration over \( W/S ^1 \) in terms of the integration over the set of fixed points of the action. In the picture of symplectic geometry his results imply the Jeffrey-Kirwan localization theorem for the circle action.
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