Volume 15, issue 4 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
The Chillingworth class is a signed stable length

Ingrid Irmer

Algebraic & Geometric Topology 15 (2015) 1863–1876
Abstract

An orientation is defined on a family of curve graphs on which the Torelli group acts. It is shown that the resulting signed stable length of an element of the Torelli group is a cohomology class. This cohomology class is half the dual of the contraction of the Johnson homomorphism, the so-called “Chillingworth class”.

Keywords
Mapping class group, curve complexes, Johnson homomorphism
Mathematical Subject Classification 2010
Primary: 20J05
Secondary: 47B47
References
Publication
Received: 18 December 2013
Revised: 3 September 2014
Accepted: 4 November 2014
Published: 10 September 2015
Authors
Ingrid Irmer
Department of Mathematics
Florida State University
208 Love Building
1017 Academic Way
Tallahassee, FL 32306-4510
USA