Some Properties of Hypergeometric Series Associated with Mirror Symmetry
Abstract
We show that certain hypergeometric series used to formulate mirror symmetry for CalabiYau 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 GromovWitten invariants of a quintic threefold and more generally to compute the genus one GromovWitten invariants of any CalabiYau projective hypersurface.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.0889
 Bibcode:
 2007arXiv0710.0889Z
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Algebraic Geometry;
 05A19;
 14N35
 EPrint:
 14 pages