6 papers
Atoroidal surface bundles
Autumn E. Kent, Christopher J. Leininger
We show that there is a type-preserving homomorphism from the fundamental group of the figure-eight knot complement to the mapping class group of the thrice-punctured torus. As a c…
A lower bound on volumes of end-periodic mapping tori
Elizabeth Field, Autumn Kent, Christopher Leininger +1
We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism f. This result, together with work of Field, Kim, Lein…
Big Torelli groups: generation and commensuration
Javier Aramayona, Tyrone Ghaswala, Autumn E. Kent +3
For any surface of infinite topological type, we study the Torelli subgroup of the mapping class group , whose elements are those mapping classe…
Skinning bounds along thick rays
Kenneth Bromberg, Autumn Kent, Yair Minsky
We show that the diameter of the skinning map of an acylindrical hyperbolic 3-manifold M is bounded on thick Teichmueller geodesic rays by a constant depending only on the thicknes…
Spacious knots
Autumn E. Kent, Jessica S. Purcell
We show that there exist hyperbolic knots in the 3-sphere such that the set of points of large injectivity radius in the complement take up the bulk of the volume. More precisely,…
Undistorted purely pseudo-Anosov groups
Mladen Bestvina, Kenneth Bromberg, Richard P. Kent +1
In this paper we prove that groups as in the title are convex cocompact in the mapping class group.