Some Properties of Hypergeometric Series Associated with Mirror Symmetry
Combinatorics
2007-10-05 v1 Algebraic Geometry
Abstract
We show that certain hypergeometric series used to formulate mirror symmetry for Calabi-Yau hypersurfaces, in string theory and algebraic geometry, satisfy a number of interesting properties. Many of these properties are used in separate papers to verify the BCOV prediction for the genus one Gromov-Witten invariants of a quintic threefold and more generally to compute the genus one Gromov-Witten invariants of any Calabi-Yau projective hypersurface.
Keywords
Cite
@article{arxiv.0710.0889,
title = {Some Properties of Hypergeometric Series Associated with Mirror Symmetry},
author = {Don Zagier and Aleksey Zinger},
journal= {arXiv preprint arXiv:0710.0889},
year = {2007}
}
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14 pages