Elliptic genera of toric varieties and applications to mirror symmetry |
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| Authors: | Lev A. Borisov Anatoly Libgober |
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| Affiliation: | Department of Mathematics, Columbia University, New York, NY 10027, USA?(e-mail: lborisov@math.columbia.edu), US
Department of Mathematics, University of Illinois, Chicago, IL 60607, USA?(e-mail: libgober@math.uic.edu), US
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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. Oblatum 12-V-1999 & 4-XI-1999?Published online: 21 February 2000 |
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