Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms

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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.
To appear in Algebra i Analiz (St. Petersburg Math. Journal) 11:5 (1999); AMS-TeX, 25 pages

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Algebraic Geometry, High Energy Physics - Theory, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/78734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906190
 http://arxiv.org/abs/math/9906190

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arXiv