Some Properties of Hypergeometric Series Associated with Mirror Symmetry

Details Some Properties of Hypergeometric Series Associated with Mirror Symmetry Some Properties of Hypergeometric Series Associated with Mirror Symmetry

2007-10-03

arxiv.org/abs/0710.0889v1

Mathematics

Combinatorics

14 pages

Scientific paper

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.

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