Higher elliptic genera (Q935891)
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scientific article; zbMATH DE number 5310650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher elliptic genera |
scientific article; zbMATH DE number 5310650 |
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Higher elliptic genera (English)
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12 August 2008
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In [Duke Math. J. 116, 319--351 (2003; Zbl 1053.14050)] and [Ann. Math (2) 161, 1521--1569, (2005; Zbl 1153.58301)] the authors introduced and studied elliptic genera. The paper under review address some of the questions about these objects raised in the second of these papers. The main theorems are that the elliptic genera of \(SU\)-manifolds or, more generally Kawamata log-terminal \(G\)-normal pairs are Jacobi forms and that they are invariants of \(K\)-equivalence.
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elliptic genera
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\(SU\)-manifolds
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Kawamata log-terminal pair
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Novikov conjecture
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