Some properties of hypergeometric series associated with mirror symmetry
D Zagier, A Zinger�- arXiv preprint arXiv:0710.0889, 2007 - arxiv.org
D Zagier, A Zinger
arXiv preprint arXiv:0710.0889, 2007•arxiv.orgWe 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.
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.
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.
arxiv.org