Year: 2025
Type: article
Abstract: We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end‐periodic homeomorphism . This result, together with work of Field, Kim, Leininger, and Loving [J. Topol. 16 (2023), no. 1, 57–105], shows that the volume of is comparable to the translation length of on a connected component of the pants graph , extending work of Brock [Comm. Anal. Geom. 11 (2003), no. 5, 987–999] in the finite‐type setting on volumes of mapping tori of pseudo‐Anosov homeomorphisms.
Source: Journal of Topology
DOI: 10.1112/topo.70037
Authors: Elizabeth Field, Autumn Kent, Christopher Leininger, Marissa Loving
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
Awards: Curves, Surfaces, and 3-Manifolds: Geometry, Topology, and Dynamics in the Mapping Class Group and Beyond, RTG: Algebra, Geometry, and Topology at the University of Utah, The Geometry of Hyperbolic 3-Manifolds, PostDoctoral Research Fellowship, G3992348495, Hyperbolic Manifolds and Their Moduli Spaces, Geometry, groups, and dynamics, Problems in geometry, topology, and group theory
OpenAlex ID: W4413975267