Bounds on asymptotic translation length on free factor and free splitting complexes

Abstract:

The free factor and free splitting complexes are analogies for the curve complex on surfaces. We found some upper bound on the asymptotic translation length on these complexes when the train track maps have homotopic mapping tori, analogous to an upper bound we found earlier in the setting of curve complexes.

This is joint work with Hyungryul Baik and Dongryul Kim.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | slides )

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