$2\ imes 2$ Fuchsian系统的单值辛同胚生成函数及其WKB展开
Generating function of monodromy symplectomorphism for $2\times 2$ Fuchsian systems and its WKB expansion
AI总结：
本研究针对含四个Fuchsian奇点的$2\ imes 2$线性微分方程组，计算其单值辛同胚生成函数的WKB展开前三项，验证了该函数与Jimbo-Miwa tau函数的关联，并建立了与Bergman tau函数的联系。
摘要：
我们研究具有四个Fuchsian奇点的$2\ imes 2$线性微分方程组的WKB展开。研究重点是单值辛同胚的生成函数，根据近期一篇论文的结论，该函数与Jimbo-Miwa tau函数密切相关。我们计算了该生成函数WKB展开的前三项，并建立了其与Bergman tau函数的联系。
英文摘要：
We study the WKB expansion of $2\times 2$ system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy symplectomorphism which, according to a recent paper is closely related to the Jimbo-Miwa tau-function. We compute the first three terms of the WKB expansion of the generating function and establish the link to the Bergman tau-function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
