Higher elliptic genera
代数几何
2008-10-18 v2
摘要
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.
引用
@article{arxiv.math/0602387,
title = {Higher elliptic genera},
author = {L. Borisov and A. Libgober},
journal= {arXiv preprint arXiv:math/0602387},
year = {2008}
}
备注
Comments on lemma 3.1 deleted. Final version