Higher elliptic genera

• Autores: Lev A. Borisov, Anatoly Libgober
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 2-3, 2008, págs. 511-520
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n3.a10
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• Resumen

  • We show that elliptic classes introduced in \cite{annals} for spaces with infinite fundamental groups yield Novikov's type higher elliptic genera which are invariants of K-equivalence. This include, as a special case, the birational invariance of higher Todd classes studied recently by J.Rosenberg and J.Block-S.Weinberger. We also prove the modular properties of these genera, show that they satisfy a McKay correspondence, and consider their twist by discrete torsion.