4 papers
Singularity of Cannon-Thurston maps
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
In a closed fibered hyperbolic 3-manifold M ,the inclusion of a fiber S, with S and M lifted to the universal covers, gives an exponentially distorted embedding of the hyperbolic p…
Quasi-geodesics in the Cannon-Thurston metric
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
A closed fibered 3-manifold admits a complete hyperbolic metric if and only if it has a fibration with a pseudo-Anosov monodromy. The stable and the unstable laminations associated…
A "cubist" decomposition of the Handel-Mosher axis bundle
Catherine Eva Pfaff, Chi Cheuk Tsang
We show that the axis bundle of a nongeometric fully irreducible outer automorphism admits a canonical "cubist" decomposition into branched cubes that fit together with special com…
Out() train track automata I: Proper full fold decompositions
Catherine Eva Pfaff
We describe train track automata for large classes of fully irreducible elements of Out(), and their associated geodesics in Culler-Vogtmann Outer Space.