Euler characteristics and actions of automorphism groups of free groups

被引：10

作者：

Ye, Shengkui ^{[1
]}

机构：

[1] Xian Jiaotong Liverpool Univ, Dept Math Sci, Suzhou, Jiangsu, Peoples R China

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2018年 / 18卷 / 02期

关键词：

Euler characteristics; Matrix group actions; Zimmer's program;

D O I：

10.2140/agt.2018.18.1195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-r be a connected orientable manifold with the Euler characteristic chi (M) not equivalent to 0 mod 6 . Denote by SAut(F-n) the unique subgroup of index two in the automorphism group of a free group. Then any group action of SAut(F-n) (and thus the special linear group SLn(Z)) with n >= r + 2 on M-r by homeomorphisms is trivial. This confirms a conjecture related to Zimmer's program for these manifolds.

引用

页码：1195 / 1204

页数：10

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