Geodesic
The Chillingworth class is a signed stable length
Irmer, Ingrid1
1Department of Mathematics, Florida State University, 208 Love Building, 1017 Academic Way, Tallahassee, FL 32306-4510, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 1863-1876
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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”.

DOI : 10.2140/agt.2015.15.1863
Classification : 20J05, 47B47
Keywords: Mapping class group, curve complexes, Johnson homomorphism

Irmer, Ingrid  1

1 Department of Mathematics, Florida State University, 208 Love Building, 1017 Academic Way, Tallahassee, FL 32306-4510, USA 
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Irmer, Ingrid. The Chillingworth class is a signed stable length. Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 1863-1876. doi: 10.2140/agt.2015.15.1863

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