4 papers
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 ge…
Universal circles for Anosov foliations
Ellis Buckminster, Samuel J. Taylor
Thurston introduced the notion of a universal circle associated to a taut foliation of a -manifold as a way of organizing the ideal circle boundaries of its leaves into a single…
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…
Simultaneous universal circles
Michael P. Landry, Yair N. Minsky, Samuel J. Taylor
Let phi be a pseudo-Anosov flow on a closed oriented atoroidal 3-manifold M. We show that if F is any taut foliation almost transverse to phi, then the action of pi_1(M) on the bou…