Global fixed points for centralizers and Morita's Theorem

被引：11

作者：

Franks, John ^{[1
]}

Handel, Michael

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

GEOMETRY & TOPOLOGY | 2009年 / 13卷

基金：

美国国家科学基金会;

关键词：

ABELIAN ACTIONS; HOMEOMORPHISMS; DIFFEOMORPHISMS; REALIZATION; SURFACES; NIELSEN; S2;

D O I：

10.2140/gt.2009.13.87

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a global fixed point theorem for the centralizer of a homeomorphism of the two-dimensional disk D that has attractor-repeller dynamics on the boundary with at least two attractors and two repellers. As one application we give an elementary proof of Morita's Theorem, that the mapping class group of a closed surface S of genus g does not lift to the group of C-2 diffeomorphisms of S and we improve the lower bound for g from 5 to 3

引用

页码：87 / 98

页数：12

共 20 条

[1] COMMUTANT DIFFEOMORPHISMS OF SURFACES AND STABILITY OF FIBRATIONS IN TORI [J].