Hodge theory of the Goldman bracket

被引：2
|
作者：
Hain, Richard [1 ]
机构：
[1] Duke Univ, Dept Math, Durham, NC 27706 USA
来源：
GEOMETRY & TOPOLOGY | 2020年 / 24卷 / 04期
基金：
美国国家科学基金会;
关键词：
CURVES; LOOPS;
D O I：
10.2140/gt.2020.24.1841
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that, after completing in the I-adic topology, the Goldman bracket on the space spanned by the closed geodesics on a smooth, complex algebraic curve X is a morphism of mixed Hodge structures. We prove similar statements for the natural action of the loops in X on paths from one boundary vector to another.
引用
收藏
页码：1841 / 1906
页数：66
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