Genus-2 G-function for $P^1$ orbifolds
Differential Geometry
2014-02-18 v1 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
In this paper we prove that for Gromov-Witten theory of orbifolds of ADE type the genus-2 G-function introduced by B. Dubrovin, S. Liu, and Y. Zhang vanishes. Together with our results in [LW], this completely solves the main conjecture in their paper [DLZ]. In the process, we also found a sufficient condition for the vanishing of the genus-2 G-function which is weaker than the condition given in our previous paper [LW].
Cite
@article{arxiv.1402.3854,
title = {Genus-2 G-function for $P^1$ orbifolds},
author = {Xiaobo Liu and Xin Wang},
journal= {arXiv preprint arXiv:1402.3854},
year = {2014}
}
Comments
19 pages. No figure