61 citations · 219 across the 26 of their papers we have counts for
4 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.
Equidistribution of hyperbolic groups in homogeneous spaces
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres…
Orientable maps and polynomial invariants of free-by-cyclic groups
Spencer Dowdall, Radhika Gupta, Samuel J. Taylor
We relate the McMullen polynomial of a free-by-cyclic group to its Alexander polynomial. To do so, we introduce the notion of an orientable fully irreducible outer automorphism …
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…