First cohomology of pure mapping class groups of big genus one and zero surfaces

被引：0
|
作者：
Domat, Gorge [1 ]
Plummer, Paul [2 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84102 USA
[2] Univ Oklahoma, Dept Math, Norman, OK 73109 USA
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2020年 / 26卷
关键词：
infinite-type surface; big mapping class groups; group cohomology; polish groups; automatic continuity;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the first integral cohomology of pure mapping class groups of infinite type genus one surfaces is trivial. For genus zero surfaces we prove that not every homomorphism to Z factors through a sphere with finitely many punctures. In fact, we get an uncountable family of such maps.
引用
收藏
页码：322 / 333
页数：12
相关论文
共 50 条
12345