Mathematical Research Letters

Volume 15, Issue 3, May 2008 pp. 511-520.

Higher elliptic genera

Authors: Lev Borisov (1) and Anatoly Libgober (2)
Author institution: University of Wisconsin (1) and University of Illinois (2)

Summary: 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.

Contents Full-Text PDF