Periods of meromorphic quadratic differentials and Goldman bracket

被引：4

作者：

Korotkin, D. ^{[1
]}

机构：

[1] Concordia Univ, Dept Math & Stat, 1455 Maisonneuve W, Montreal, PQ H3G 1M8, Canada

来源：

TOPOLOGICAL RECURSION AND ITS INFLUENCE IN ANALYSIS, GEOMETRY, AND TOPOLOGY | 2018年 / 100卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

PROJECTIVE-STRUCTURES; SYMPLECTIC NATURE; MONODROMY GROUPS; TAU-FUNCTION; MODULI; SPACES;

D O I：

10.1090/pspum/100/01763

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study symplectic properties for monodromy map of 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,M-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.

引用

页码：491 / 515

页数：25

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