A lower bound on volumes of end-periodic mapping tori
Autor: | Field, Elizabeth, Kent, Autumn, Leininger, Christopher, Loving, Marissa |
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Rok vydání: | 2023 |
Předmět: | |
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 |
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