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arXiv · math/9904126

Elliptic Genera and Applications to Mirror Symmetry

Lev A. Borisov·Anatoly Libgober
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Abstract

The paper contains a proof that elliptic genus of a Calabi-Yau manifold is a Jacobi form, finds in which dimensions the elliptic genus is determined by the Hodge numbers and shows that elliptic genera of a Calabi-Yau hypersurface in a toric variety and its mirror coincide up to sign. The proof of the mirror property is based on the extension of elliptic genus to Calabi-Yau hypersurfaces in toric varieties with Gorenstein singularities.

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Lev A. Borisov, Anatoly Libgober. 1999-04-22. Elliptic Genera and Applications to Mirror Symmetry. https://doi.org/10.1007/s002220000058

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