7 papers · 1 filter
Constructing endperiodic loxodromics of infinite-type arc graphs
Priyam Patel, Samuel J. Taylor
We give general conditions to produce endperiodic homeomorphisms that act loxodromically on various arc graphs of infinite-type surfaces.
Subsurface distances for hyperbolic 3-manifolds fibering over the circle
Yair N. Minsky, Samuel J. Taylor
For a hyperbolic fibered 3-manifold M, we prove results that uniformly relate the structure of surface projections as one varies the fibrations of M. This extends our previous work…
A polynomial invariant for veering triangulations
Michael Landry, Yair N. Minsky, Samuel J. Taylor
We introduce a polynomial invariant associated to a veering triangulation of a -manifold . In the special case where the triang…
Weil-Petersson translation length and manifolds with many fibered fillings
Christopher J. Leininger, Yair N. Minsky, Juan Souto +1
We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curv…
A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We prove a central limit theorem for the length of closed geodesics in any compact orientable hyperbolic surface. In the special case of a hyperbolic pair of pants, this settles a…
Random veering triangulations are not geometric
David Futer, Samuel J. Taylor, William Worden
Every pseudo-Anosov mapping class defines an associated veering triangulation of a punctured mapping torus. We show that generically, is not geometric. Here, the wo…