A universal Cannon-Thurston map and the surviving curve complex

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dc.citation.firstpage99
dc.citation.issueNumber3
dc.citation.journalTitleTransactions of the American Mathematical Society, Series B
dc.citation.lastpage143
dc.citation.volumeNumber9
dc.contributor.authorGültepe, Funda
dc.contributor.authorLeininger, Christopher
dc.contributor.authorPho-on, Witsarut
dc.date.accessioned2023-03-23T14:10:34Z
dc.date.available2023-03-23T14:10:34Z
dc.date.issued2022
dc.description.abstractUsing the Birman exact sequence for pure mapping class groups, we construct a universal Cannon-Thurston map onto the boundary of a curve complex for a surface with punctures we call surviving curve complex. Along the way we prove hyperbolicity of this complex and identify its boundary as a space of laminations. As a corollary we obtain a universal Cannon-Thurston map to the boundary of the ordinary curve complex, extending earlier work of the second author with Mj and Schleimer [Comment. Math. Helv. 86 (2011), pp. 769–816].
dc.identifier.citationGültepe, Funda, Leininger, Christopher and Pho-on, Witsarut. "A universal Cannon-Thurston map and the surviving curve complex." <i>Transactions of the American Mathematical Society, Series B,</i> 9, no. 3 (2022) American Mathematical Society: 99-143. https://doi.org/10.1090/btran/99.
dc.identifier.digitalS2330-0000-2022-00099-6
dc.identifier.doihttps://doi.org/10.1090/btran/99
dc.identifier.urihttps://hdl.handle.net/1911/114528
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.rightsCopyright 2022 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc/3.0/
dc.titleA universal Cannon-Thurston map and the surviving curve complex
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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