Center of the Goldman Lie algebra

被引：4

作者：

Kabiraj, Arpan ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2016年 / 16卷 / 05期

关键词：

SIMPLE CLOSED CURVES;

D O I：

10.2140/agt.2016.16.2839

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the center of the Goldman Lie algebra associated to a closed orientable surface is generated by the class of the trivial loop. For an orientable nonclosed surface of finite type, the center is generated by closed curves which are either homotopically trivial or homotopic to boundary components or punctures.

引用

页码：2839 / 2849

页数：11

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