A lower bound on volumes of end-periodic mapping tori

Autor:	Field, Elizabeth, Kent, Autumn, Leininger, Christopher, Loving, Marissa
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Dynamical Systems 57K32 57K20 (Primary) 57M50 57R30 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 38 pages, 14 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.03279 Zobrazit plný text záznamu View this record from Arxiv