Higher elliptic genera

Details Higher elliptic genera Higher elliptic genera

2006-02-17

arxiv.org/abs/math/0602387v2

Math. Res. Lett. 15 (2008), no. 3, 511--520

Mathematics

Algebraic Geometry

Comments on lemma 3.1 deleted. Final version

Scientific paper

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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