Higher elliptic genera

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We show that elliptic classes introduced in our earlier paper 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.
Comments on lemma 3.1 deleted. Final version

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Algebraic Geometry, 14J50, 58J03, 14M, 11F

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http://salesiana.dossiersoluciones.com/handle/123456789/171678

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602387
 http://arxiv.org/abs/math/0602387
 Math. Res. Lett. 15 (2008), no. 3, 511--520

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arXiv