Higher elliptic genera

L. Borisov; A. Libgober

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Higher elliptic genera

L. Borisov·A. Libgober

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Abstract

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.

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BibTeX RIS

L. Borisov, A. Libgober. 2008-10-17. Higher elliptic genera. https://arxiv.org/abs/math/0602387

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