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math.GT2013★ 1 cited
Stable Lengths on the pants graph are rational
Ingrid Irmer
For the pants graph, there is little known about the behaviour of geodesics, as opposed to quasigeodesics. Brock-Masur-Minsky showed that geodesics or geodesic segments connecting…
math.GT2013★ 1 cited
The Chillingworth Class is a Signed Stable Length
Ingrid Irmer
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 c…
math.GT2013
Critical levels and Jacobi fields in a complex of cycles
Ingrid Irmer
In this paper it is shown that the space of tight geodesic segments connecting any two vertices in a complex of cycles has finite, uniformly bounded dimension. The dimension is def…