Geometry of the mapping class groups I: Boundary amenability

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We construct a geometric model for the mapping class group M of a non-exceptional oriented surface of finite type and use it to show that the action of M on the compact Hausdorff space of complete geodesic laminations is topologically amenable. As a consequence, the Novikov higher signature conjecture holds for every subgroup of M.
59 pages. Section 5 simplified and corrected. Writing improved. Details added

Keywords

Group Theory, Geometric Topology, 20M34

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/157090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510116
 http://arxiv.org/abs/math/0510116

Collections

arXiv