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math.GT2012
Lipschitz constants to curve complexes
Vaibhav Gadre, Eriko Hironaka, Richard P. Kent +1
We determine the asymptotic behavior of the optimal Lipschitz constant for the systole map from Teichmuller space to the curve complex.
math.GT2012
Pseudo-Anosov subgroups of fibered 3-manifold groups
Spencer Dowdall, Richard P. Kent, Christopher J. Leininger
Let X be a hyperbolic surface and H the fundamental group of a hyperbolic 3-manifold that fibers over the circle with fiber X. Using the Birman exact sequence, H embeds in the mapp…
math.GT2012
Finite rigid sets in curve complexes
Javier Aramayona, Christopher J. Leininger
We prove that curve complexes of surfaces are finitely rigid: for every orientable surface S of finite topological type, we identify a finite subcomplex X of the curve complex C(S)…