Field, ElizabethKim, HeejoungLeininger, ChristopherLoving, Marissa2023-04-252023-04-252023Field, Elizabeth, Kim, Heejoung, Leininger, Christopher, et al.. "End-periodic homeomorphisms and volumes of mapping tori." <i>Journal of Topology,</i> 16, no. 1 (2023) Wiley: 57-105. https://doi.org/10.1112/topo.12277.https://hdl.handle.net/1911/114814Given an irreducible, end-periodic homeomorphism f:S→S$f: S \rightarrow S$ of a surface with finitely many ends, all accumulated by genus, the mapping torus, Mf$M_f$, is the interior of a compact, irreducible, atoroidal 3-manifold M¯f$øverlineM_f$ with incompressible boundary. Our main result is an upper bound on the infimal hyperbolic volume of M¯f$øverlineM_f$ in terms of the translation length of f$f$ on the pants graph of S$S$. This builds on work of Brock and Agol in the finite-type setting. We also construct a broad class of examples of irreducible, end-periodic homeomorphisms and use them to show that our bound is asymptotically sharp.engThis is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.Journal article2023-Fieldhttps://doi.org/10.1112/topo.12277