Circle-valued momentum maps for symplectic periodic flows (Q353421)
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scientific article; zbMATH DE number 6187664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Circle-valued momentum maps for symplectic periodic flows |
scientific article; zbMATH DE number 6187664 |
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Circle-valued momentum maps for symplectic periodic flows (English)
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12 July 2013
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Summary: We give a detailed proof of the well-known classical fact that every symplectic circle action on a compact manifold admits a circle-valued momentum map relative to some symplectic form. This momentum map is Morse-Bott-Novikov and each connected component of the fixed point set has even index. These proofs do not seem to have appeared elsewhere.
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symplectic circle action
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circle-valued momentum map
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