5 papers · 1 filter
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…
Fibrations on Handlebodies
Jesús Hernández Hernández, Christopher J. Leininger, Ferrán Valdez
We show that the open genus 2 handlebody admits uncountably-many fibrations over the circle with fiber homeomorphic to the Cantor tree surface with non-conjugate monodromies in the…
Purely pseudo-Anosov subgroups of the genus two handlebody group
Marissa Chesser, Christopher J. Leininger
We prove that finitely generated, purely pseudo-Anosov subgroups of the genus handlebody group are convex cocompact.
Filling links and spines in 3-manifolds
Michael Freedman, Vyacheslav Krushkal, Christopher J. Leininger +1
We introduce and study the notion of filling links in 3-manifolds: a link L is filling in M if for any 1-spine G of M which is disjoint from L, injects into $Ï_1(M\small…