Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds

DOI10.1016/J.CRMA.2007.01.020zbMath1123.58012OpenAlexW2081812611MaRDI QIDQ875317

Rafael Herrera

Publication date: 13 April 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.01.020

zbMATH Keywords

circle actionHilbert polynomialfixed point theoremelliptic genusrigidity theorem\(\pi_{2}\)-finite manifold\(N\)-balanced action

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Elliptic genera (58J26)

Related Items (3)

Connective models for topological modular forms of level \(n\) ⋮ Rigidity and vanishing theorems for almost quaternionic manifolds ⋮ Elliptic genera of level \(N\) for complete intersections

Cites Work

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• Elliptic genera and quantum field theory
• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Generalized elliptic genera and Baker-Akhiezer functions
• \(\hat A\)-genus on non-spin manifolds with \(S^ 1\) actions and the classification of positive quaternion-Kähler 12-manifolds.
• \(S^ 1\)-actions and elliptic genera
• Representations at fixed points of smooth actions of compact groups
• On the Rigidity Theorems of Witten

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