A lower bound on volumes of end-periodic mapping tori
Geometric Topology
2025-08-21 v2 Dynamical Systems
Abstract
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, Leininger, and Loving, shows that the volume of the compactified mapping torus of f is comparable to the translation length of f on a connected component of the pants graph, extending work of Brock in the finite-type setting on volumes of mapping tori of pseudo-Anosov homeomorphisms.
Keywords
Cite
@article{arxiv.2306.03279,
title = {A lower bound on volumes of end-periodic mapping tori},
author = {Elizabeth Field and Autumn Kent and Christopher Leininger and Marissa Loving},
journal= {arXiv preprint arXiv:2306.03279},
year = {2025}
}
Comments
39 pages, 14 figures, incorporated referee comments, accepted for publication in the Journal of Topology