The Chillingworth Class is a Signed Stable Length
Geometric Topology
2016-01-20 v3 Group Theory
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 socalled "Chillingworth class".
Keywords
Cite
@article{arxiv.1310.2537,
title = {The Chillingworth Class is a Signed Stable Length},
author = {Ingrid Irmer},
journal= {arXiv preprint arXiv:1310.2537},
year = {2016}
}
Comments
Changed definition of pre-image function to make it uppersemicontinuous. Diagrams and more background were added