On Certain Vanishing Identities For Gromov-Witten Invariants
Differential Geometry
2008-05-19 v3 Algebraic Geometry
Abstract
In this paper, we study some vanishing identities for Gromov-Witten invariants conjectured by K. Liu and H. Xu. We will prove these conjectures in the case that the summation range is large compare to genus. In fact, in such cases, we can obtain a vanishing identity which is stronger than their conjectures. Moreover we will also prove their conjectures in low genus cases.
Cite
@article{arxiv.0805.0800,
title = {On Certain Vanishing Identities For Gromov-Witten Invariants},
author = {Xiaobo Liu},
journal= {arXiv preprint arXiv:0805.0800},
year = {2008}
}
Comments
15 pages, LaTex file. Added more cases to Theorem 0.3