Gauss-Manin System and the Virtual Structure Constants
Algebraic Geometry
2023-08-01 v2 High Energy Physics - Theory
Abstract
In this paper, we discuss some applications of Givental's differential equations to enumerative problems on rational curves in projective hypersurfaces. Using this method, we prove some of the conjectures on the structure constants of quantum cohomology of projective hypersurfaces, proposed in our previous article. Moreover, we clarify the correspondence between the virtual structure constants and Givental's differential equations when the projective hypersurface is Calabi-Yau or general type.
Cite
@article{arxiv.math/0109039,
title = {Gauss-Manin System and the Virtual Structure Constants},
author = {Masao Jinzenji},
journal= {arXiv preprint arXiv:math/0109039},
year = {2023}
}
Comments
25 pages, Latex, references added, minor errors are corrected