Elliptic genera of level <i>N</i> on complex $ {\pi }_{2}$-finite manifolds

Rafael Herrera

doi:10.1016/j.crma.2007.01.020

Differential Geometry

Elliptic genera of level N on complex

π_{2}

-finite manifolds

Presented by: Jean-Pierre Demailly

Rafael Herrera ¹

¹ Centro de Investigación en Matemáticas, A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico

Comptes Rendus. Mathématique, Volume 344 (2007) no. 5, pp. 317-320.

Abstract
Résumé

We prove 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.

On montre la rigidité des genres elliptiques de niveau N sur les variétés complexes avec deuxième groupe d'homotopie fini et dotées d'actions de $S^{1}$ , et l'annulation du polynôme de Hilbert de son fibré vectoriel canonique.

Received: 2006-06-27
Accepted: 2007-01-22
Published online: 2007-02-26

DOI: 10.1016/j.crma.2007.01.020

Author's affiliations:

Rafael Herrera ¹

¹ Centro de Investigación en Matemáticas, A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico

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     author = {Rafael Herrera},
     title = {Elliptic genera of level {\protect\emph{N}} on complex $ {\pi }_{2}$-finite manifolds},
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     pages = {317--320},
     publisher = {Elsevier},
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     year = {2007},
     doi = {10.1016/j.crma.2007.01.020},
     language = {en},
}

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Rafael Herrera. Elliptic genera of level N on complex $ {\pi }_{2}$-finite manifolds. Comptes Rendus. Mathématique, Volume 344 (2007) no. 5, pp. 317-320. doi : 10.1016/j.crma.2007.01.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.01.020/

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