Elliptic genera, real algebraic varieties and quasi-Jacobi forms

Details Elliptic genera, real algebraic varieties and quasi-Jacobi forms Elliptic genera, real algebraic varieties and quasi-Jacobi forms

2009-04-06

arxiv.org/abs/0904.1026v2

Mathematics

Algebraic Geometry

Minor changes in exposition and corrections

Scientific paper

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.

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