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”.
Citation
Ingrid Irmer. "The Chillingworth class is a signed stable length." Algebr. Geom. Topol. 15 (4) 1863 - 1876, 2015. https://doi.org/10.2140/agt.2015.15.1863
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