8 papers
Simultaneous universal circles and continuous extension
Sérgio R. Fenley, Michael P. Landry, Samuel J. Taylor
Fenley proved that any foliation almost transverse to a quasigeodesic pseudo-Anosov flow in a closed atoroidal 3-manifold has the continuous extension property, meaning the inclusi…
Constructing depth one laminations transverse to pseudo-Anosov flows
Junzhi Huang, Samuel J. Taylor
Given a pseudo-Anosov flow on a closed atoroidal --manifold and a closed surface almost transverse to , we give a homological characterization of when can b…
A characterization of pseudo-Anosov orbit spaces via bifoliated planes
Kathryn Mann, Samuel J. Taylor
We characterize the actions on bifoliated planes that arise as orbits spaces of transitive pseudo-Anosov flows on orientable closed 3-manifold. We use branched covers, veering tria…
Quadratic-time computations for pseudo-Anosov mapping classes
Dan Margalit, Balázs Strenner, Samuel J. Taylor +1
We give a quadratic-time algorithm to compute the stretch factor and the invariant measured foliations for a pseudo-Anosov element of the mapping class group. As input, the algorit…
On fixed points of pseudo-Anosov maps
Tarik Aougab, David Futer, Samuel J. Taylor
We give a formula to estimate the number of fixed points of a pseudo-Anosov homeomorphism of a surface. When the homeomorphism satisfies a mild property called strong irreducibilit…
Pseudo-Anosov flows, hyperbolic geometry, and the curve graph
Junzhi Huang, Samuel J. Taylor
Starting with a pseudo-Anosov flow on a closed hyperbolic -manifold and an embedded surface that is (almost) transverse to , we relate the hyperbolic…