End-periodic homeomorphisms and volumes of mapping tori
| dc.citation.firstpage | 57 | |
| dc.citation.issueNumber | 1 | |
| dc.citation.journalTitle | Journal of Topology | |
| dc.citation.lastpage | 105 | |
| dc.citation.volumeNumber | 16 | |
| dc.contributor.author | Field, Elizabeth | |
| dc.contributor.author | Kim, Heejoung | |
| dc.contributor.author | Leininger, Christopher | |
| dc.contributor.author | Loving, Marissa | |
| dc.date.accessioned | 2023-04-25T14:47:43Z | |
| dc.date.available | 2023-04-25T14:47:43Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Given an irreducible, end-periodic homeomorphism f:S→S$f: S \rightarrow S$ of a surface with finitely many ends, all accumulated by genus, the mapping torus, Mf$M_f$, is the interior of a compact, irreducible, atoroidal 3-manifold M¯f$øverlineM_f$ with incompressible boundary. Our main result is an upper bound on the infimal hyperbolic volume of M¯f$øverlineM_f$ in terms of the translation length of f$f$ on the pants graph of S$S$. This builds on work of Brock and Agol in the finite-type setting. We also construct a broad class of examples of irreducible, end-periodic homeomorphisms and use them to show that our bound is asymptotically sharp. | |
| dc.identifier.citation | Field, Elizabeth, Kim, Heejoung, Leininger, Christopher, et al.. "End-periodic homeomorphisms and volumes of mapping tori." <i>Journal of Topology,</i> 16, no. 1 (2023) Wiley: 57-105. https://doi.org/10.1112/topo.12277. | |
| dc.identifier.digital | 2023-Field | |
| dc.identifier.doi | https://doi.org/10.1112/topo.12277 | |
| dc.identifier.uri | https://hdl.handle.net/1911/114814 | |
| dc.language.iso | eng | |
| dc.publisher | Wiley | |
| dc.rights | This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.title | End-periodic homeomorphisms and volumes of mapping tori | |
| dc.type | Journal article | |
| dc.type.dcmi | Text | |
| dc.type.publication | publisher version |
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