论文标题
Voros系数和与二维Garnier系统退化相关的一类超代微分方程的拓扑递归
Voros Coefficients and the Topological Recursion for a Class of the Hypergeometric Differential Equations associated with the Degeneration of the 2-dimensional Garnier System
论文作者
论文摘要
在我与Iwaki和Koike的联合论文中（[IKOT1，IKOT2]），我们在精确WKB分析中发现了Voros系数与Eynard和Orantin在拓扑递归中的自由能之间的有趣关系，在高斯综合家庭中引入的拓扑递归中。在本文中，我们讨论了与$ 2 $维脱名的Garnier Systems相关的超几何微分方程的概括。
In my joint papers with Iwaki and Koike ([IKoT1, IKoT2]) we found an intriguing relation between the Voros coefficients in the exact WKB analysis and the free energy in the topological recursion introduced by Eynard and Orantin in the case of the confluent family of the Gauss hypergeometric differential equations. In this paper we discuss its generalization to the case of the hypergeometric differential equations associated with $2$-dimensional degenerate Garnier systems.
