Non-realizability of the Torelli group as area-preserving homeomorphisms

被引：2

作者：

Chen, Lei ^{[1
]}

Markovic, Vladimir ^{[1
]}

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2020年 / 102卷 / 03期

关键词：

37E10; 37E30; 37E40 (primary); ROTATION NUMBERS; BRAID-GROUPS; REALIZATION; INSTABILITY; SET;

D O I：

10.1112/jlms.12340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nielsen realization problem for the mapping class groupMod(Sg)asks whether the natural projectionpg:Homeo+(Sg)-> Mod(Sg)has a section. While all the previous results use torsion elements in an essential way, in this paper, we focus on the much more difficult problem of realization of torsion-free subgroups ofMod(Sg). The main result of this paper is that the Torelli group has no realization inside the area-preserving homeomorphisms.

引用

页码：957 / 976

页数：20

共 22 条

[1] Some groups of mapping classes not realized by diffeomorphisms [J].