Nonsmoothable, locally indicable group actions on the interval

Calegari, Danny

doi:10.2140/agt.2008.8.609

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Nonsmoothable, locally indicable group actions on the interval

Danny Calegari

Algebraic & Geometric Topology 8 (2008) 609–613

DOI: 10.2140/agt.2008.8.609

Abstract

By the Thurston Stability Theorem, a group of $C^{1}$ orientation-preserving diffeomorphisms of the closed unit interval is locally indicable. We show that the local order structure of orbits gives a stronger criterion for nonsmoothability that can be used to produce new examples of locally indicable groups of homeomorphisms of the interval that are not conjugate to groups of $C^{1}$ diffeomorphisms.

Keywords

group action, smoothable, interval, Thurston stability theorem, order structure

Mathematical Subject Classification 2000

Primary: 37C85

Secondary: 37E05

References

Publication

Received: 3 December 2007

Revised: 1 March 2008

Accepted: 1 March 2008

Published: 22 May 2008

Authors

Danny Calegari
Department of Mathematics California Institute of Technology Pasadena CA 91125 USA
http://www.its.caltech.edu/~dannyc

Volume 8, issue 1 (2008)