2 papers
math.GT2026
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…
math.GT2025
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…