The mapping class group cannot be realized by homeomorphisms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $M$ be a closed surface. By $\Homeo(M)$ we denote the group of orientation preserving homeomorphisms of $M$ and let $\MC(M)$ denote the Mapping class group. In this paper we complete the proof of the conjecture of Thurston that says that for any closed surface $M$ of genus $\g \ge 2$, there is no homomorphic section $\E:\MC(M) \to \Homeo(M)$ of the standard projection map $\Proj:\Homeo(M) \to \MC(M)$.
33 pages, 6 figures

Keywords

Geometric Topology, Dynamical Systems, 20H10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/164000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.0182
 http://arxiv.org/abs/0807.0182

Collections

arXiv