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arXiv · 1402.3854

Genus-2 G-function for $P^1$ orbifolds

Xiaobo Liu·Xin Wang
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Abstract

In this paper we prove that for Gromov-Witten theory of $P^1$ 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].

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BibTeXRIS

Xiaobo Liu, Xin Wang. 2014-02-16. Genus-2 G-function for $P^1$ orbifolds. https://arxiv.org/abs/1402.3854

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