Elliptic Genera and Applications to Mirror Symmetry
Algebraic Geometry
2009-10-31 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.math/9904126,
title = {Elliptic Genera and Applications to Mirror Symmetry},
author = {Lev A. Borisov and Anatoly Libgober},
journal= {arXiv preprint arXiv:math/9904126},
year = {2009}
}
Comments
32 pages, LaTeX