The Chillingworth Class is a Signed Stable Length
classification
🧮 math.GT
math.GR
keywords
classchillingworthcohomologygrouplengthsignedstabletorelli
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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 socalled "Chillingworth class".
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