Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Algebraic Topology
Abstract
In the paper we study two types of relations: a one is between the elliptic genus of Calabi-Yau manifolds and Jacobi modular forms, another one is between the second quantized elliptic genus, Siegel modular forms and Lorentzian Kac-Moody Lie algebras. We also determine the structure of the graded ring of the weak Jacobi forms with integral Fourier coefficients. It gives us a number of applications to the theory of elliptic genus and of the second quantized elliptic genus.
Keywords
Cite
@article{arxiv.math/9906190,
title = {Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms},
author = {V. Gritsenko},
journal= {arXiv preprint arXiv:math/9906190},
year = {2007}
}
Comments
To appear in Algebra i Analiz (St. Petersburg Math. Journal) 11:5 (1999); AMS-TeX, 25 pages