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dc.contributor.authorTang, Ren
dc.contributor.authorWebb, Richarden
dc.date.accessioned2017-02-20T16:25:58Z
dc.date.available2017-02-20T16:25:58Z
dc.identifier.issn1073-7928
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/262684
dc.description.abstractWe consider several natural sets of curves associated to a given Teichmüller disc, such as the systole set or cylinder set, and study their coarse geometry inside the curve graph. We prove that these sets are quasiconvex and agree up to uniformly bounded Hausdorff distance. We describe two operations on curves and show that they approximate nearest point projections to their respective targets. Our techniques can be used to prove a bounded geodesic image theorem for a natural map from the curve graph to the filling multi-arc graph associated to a Teichmüller disc.
dc.description.sponsorshipThis work was supported by the Engineering and Physical Sciences Research Council fellowship number (EP/N019644/1 to R.C.H.W.).
dc.languageengen
dc.language.isoenen
dc.publisherOxford University Press
dc.rightsAttribution 4.0 Internationalen
dc.rightsAttribution 4.0 Internationalen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleShadows of Teichmüller Discs in the Curve Graphen
dc.typeArticle
prism.publicationNameInternational Mathematics Research Noticesen
dc.identifier.doi10.17863/CAM.7963
dcterms.dateAccepted2016-11-28en
rioxxterms.versionofrecord10.1093/imrn/rnw318en
rioxxterms.versionVoRen
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2016-11-28en
dc.identifier.eissn1687-0247
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/N019644/1)
cam.issuedOnline2017-02-04en


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International