Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds (Q875317)
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scientific article; zbMATH DE number 5142255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds |
scientific article; zbMATH DE number 5142255 |
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Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds (English)
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13 April 2007
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The author proves the rigidity of the elliptic genera of level \(N\) on complex manifolds with finite second homotopy group admitting circle actions, and the vanishing of the Hilbert polynomial of its canonical bundle.
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elliptic genus
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rigidity theorem
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circle action
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\(\pi_{2}\)-finite manifold
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Hilbert polynomial
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\(N\)-balanced action
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fixed point theorem
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