Genus-2 G-function for $P^1$ orbifolds
Genus-2 G-function for $P^1$ orbifolds
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DOI：
10.1016/j.aim.2015.01.011
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
Xiaobo Liu;Xin Wang
中科院分区：
文献类型：
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作者：
Xiaobo Liu;Xin Wang
本文证明了由B. Dubrovin、S. Liu和Y. Zhang引入的2类g函数在ADE型p1轨道的Gromov-Witten理论中消失。结合我们在[11]中的结果，这完全解决了他们论文[4]中的主要猜想。在此过程中，我们还发现了2类g函数消失的一个充分条件，该条件弱于前人论文[11]给出的条件。
In this paper we prove that for the 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 [11], this completely solves the main conjecture in their paper [4]. 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 [11].