Elliptic genera, real algebraic varieties and quasi-Jacobi forms
Algebraic Geometry
2009-06-17 v2 Number Theory
Abstract
The first part surveys the push forward formula for elliptic class and various applications obtained in the papers by L.Borisov and the author. In the remaining part we discuss the ring of quasi-Jacobi forms which allow to characterize the functions which are the elliptic genera of almost complex manifolds and extension of Ochanine elliptic genus to certain singular real algebraic varieties.
Cite
@article{arxiv.0904.1026,
title = {Elliptic genera, real algebraic varieties and quasi-Jacobi forms},
author = {A. Libgober},
journal= {arXiv preprint arXiv:0904.1026},
year = {2009}
}
Comments
Minor changes in exposition and corrections