The Chillingworth class is a signed stable length

Irmer, Ingrid

doi:10.2140/agt.2015.15.1863

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

The Chillingworth class is a signed stable length

Ingrid Irmer

Algebraic & Geometric Topology 15 (2015) 1863–1876

DOI: 10.2140/agt.2015.15.1863

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

Volume 15, issue 4 (2015)