Genus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory
Algebraic Geometry
2007-08-02 v2 Symplectic Geometry
Abstract
In this paper we compute certain two-point integrals over a moduli space of stable maps into projective space. Computation of one-point analogues of these integrals constitutes a proof of mirror symmetry for genus-zero one-point Gromov-Witten invariants of projective hypersurfaces. The integrals computed in this paper constitute a significant portion in the proof of mirror symmetry for genus-one GW-invariants completed in a separate paper. These integrals also provide explicit mirror formulas for genus-zero two-point GW-invariants of projective hypersurfaces. The approach described in this paper leads to a reconstruction algorithm for all genus-zero GW-invariants of projective hypersurfaces.
Cite
@article{arxiv.0705.2725,
title = {Genus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory},
author = {Aleksey Zinger},
journal= {arXiv preprint arXiv:0705.2725},
year = {2007}
}