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

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dc.creatorGritsenko, V.
dc.date1999-06-28
dc.date.accessioned2026-07-07T05:29:41Z
dc.date.available2026-07-07T05:29:41Z
dc.descriptionIn 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.
dc.descriptionTo appear in Algebra i Analiz (St. Petersburg Math. Journal) 11:5 (1999); AMS-TeX, 25 pages
dc.identifierhttps://arxiv.org/abs/math/9906190
dc.identifierhttp://arxiv.org/abs/math/9906190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78734
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Topology
dc.titleElliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
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