亚纯二次微分的周期与Goldman括号
Periods of meromorphic quadratic differentials and Goldman bracket
摘要：
研究了黎曼曲面上具有单极点的亚纯位势的二阶线性方程单值映射的辛性质。我们证明了余切丛$T^*M_{g,n}$上的标准辛结构蕴涵了monodromy映射下相应的特征标簇上的Goldman括号，从而推广了M.Bertola，C.Norton和作者的文章的最新结果.
英文摘要：
We study symplectic properties of monodromy map for second order linear equation with meromorphic potential having only simple poles on a Riemann surface. We show that the canonical symplectic structure on the cotangent bundle $T^*M_{g,n}$ implies the Goldman bracket on the corresponding character variety under the monodromy map, thereby extending the recent results of the paper of M.Bertola, C.Norton and the author from the case of holomorphic to meromorphic potentials with simple poles.
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