A lower bound on volumes of end-periodic mapping tori

IF 1.1 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2025-09-04 DOI:10.1112/topo.70037

Elizabeth Field, Autumn Kent, Christopher Leininger, Marissa Loving

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Abstract

We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism $f : S \to S$ . This result, together with work of Field, Kim, Leininger, and Loving [J. Topol. 16 (2023), no. 1, 57–105], shows that the volume of ${\bar{M}}_{f}$ is comparable to the translation length of $f$ on a connected component of the pants graph $P (S)$ , 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.

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周期末映射环面的一个下界

给出了一个强不可约的末周期同胚f: S→S $f: S \rightarrow S$的紧化映射环面体积的下界。这一结果，连同Field， Kim， Leininger和Loving的工作[J]。Topol. 16 (2023), no。[j]；表明M¯f $\overline{M}_f$的体积与f $f$在裤子图P (S) $\mathcal {P}(S)$， Brock的延伸工作[Comm. Anal]。《地球科学》11(2003)，第2期。[5]在伪anosov同胚映射环面体积上的有限型集合。

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.