Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds
type: Item
instance of: scholarly article
title: Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds
zbMATH Open document ID: 1123.58012
author: Rafael Herrera
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2007-04-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 58J26
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 5142255
zbMATH Keywords: elliptic genus
zbMATH Keywords: rigidity theorem
zbMATH Keywords: circle action
zbMATH Keywords: \(\pi_{2}\)-finite manifold
zbMATH Keywords: Hilbert polynomial
zbMATH Keywords: \(N\)-balanced action
zbMATH Keywords: fixed point theorem
reviewed by: Witold Mozgawa
MaRDI profile type: Publication
full work available at URL: j.crma.2007.01.020
OpenAlex ID: W2081812611
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DOI: 10.1016/J.CRMA.2007.01.020
description: scientific article; zbMATH DE number 5142255