Volumes of end-periodic mapping tori
Geometric Topology
2025-08-21 v1 Dynamical Systems
Abstract
In this expository paper, we provide an intuition and illustration-driven overview of two recent results that tie the dynamics of certain homeomorphisms of infinite-type surfaces, called end-periodic homeomorphisms, to the geometry of their associated (compactified) mapping tori. These results are analogues of a theorem of Brock in the finite-type setting for mapping tori of pseudo-Anosov homeomorphisms.
Keywords
Cite
@article{arxiv.2508.14244,
title = {Volumes of end-periodic mapping tori},
author = {Marissa Loving},
journal= {arXiv preprint arXiv:2508.14244},
year = {2025}
}
Comments
31 pages, 33 figures; This expository paper builds on lecture notes from a minicourse entitled, "Infinite-type surfaces, end-periodic homeomorphisms, and the geometry of 3-manifolds", which was given by the author as part of the 2023 Riverside Workshop on Geometric Group Theory