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A lower bound on volumes of end-periodic mapping tori

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arxiv 2306.03279 v2 pith:G24RB6ZX submitted 2023-06-05 math.GT math.DS

Elizabeth Field , Autumn Kent , Christopher Leininger , Marissa Loving This is my paper · ORCID
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keywords mappingboundcompactifiedend-periodiclowertoritorusvolume
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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.

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  1. Volumes of end-periodic mapping tori

    math.GT 2025-08 accept novelty 2.0 of 10

    An expository paper presenting theorems that bound volumes of end-periodic mapping tori by pants-graph translation length, an infinite-type analogue of Brock's theorem.

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