Volume 15, issue 4 (2015)

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

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

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