Riemann surfaces with orbifold points

被引：7

作者：

Chekhov, L. O. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

[2] Alikhanov Inst Theoret & Expt Phys, Moscow 117218, Russia

[3] Lab JV Poncelet, Moscow 119002, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2009年 / 266卷 / 01期

基金：

英国工程与自然科学研究理事会; 俄罗斯基础研究基金会;

关键词：

TEICHMULLER SPACE; CLUSTER ALGEBRAS; GRAVITY;

D O I：

10.1134/S0081543809030146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We interpret the previously developed Teichmuller theory of surfaces with marked points on boundary components (bordered surfaces) as the Teichmuller theory of Riemann surfaces with orbifold points of order 2. In the Poincar, uniformization pattern, we describe necessary and sufficient conditions for the group generated by the Fuchsian group of the surface with added inversions to be of the almost hyperbolic Fuchsian type. All the techniques elaborated for the bordered surfaces (quantization, classical and quantum mapping-class group transformations, and Poisson and quantum algebra of geodesic functions) are equally applicable to the surfaces with orbifold points.

引用

页码：228 / 250

页数：23

共 33 条

[1]

[Anonymous], ARXIVDGGA9702018

[2]

Bonahon F., 1996, Ann. Fac. Sci. Toulouse Math., V5, P233

[3] Teichmuller Theory of Bordered Surfaces [J].