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dc.creatorCooper, D
dc.creatorFuter, D
dc.creatorPurcell, JS
dc.date.accessioned2021-02-03T20:28:01Z
dc.date.available2021-02-03T20:28:01Z
dc.date.issued2013-07-18
dc.identifier.issn1465-3060
dc.identifier.issn1364-0380
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5934
dc.identifier.other190MK (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5952
dc.description.abstractAny one-cusped hyperbolic manifold M with an unknotting tunnel x is obtained by Dehn filling a cusp of a two-cusped hyperbolic manifold. In the case where M is obtained by "generic" Dehn filling, we prove that r is isotopic to a geodesic, and characterize whether r is isotopic to an edge in the canonical decomposition of M. We also give explicit estimates (with additive error only) on the length of r relative to a maximal cusp. These results give generic answers to three long-standing questions posed by Adams, Sakuma and Weeks. We also construct an explicit sequence of one-tunnel knots in S3, all of whose unknotting tunnels have length approaching infinity.
dc.format.extent1815-1876
dc.language.isoen
dc.relation.haspartGeometry and Topology
dc.relation.isreferencedbyMathematical Sciences Publishers
dc.subjectmath.GT
dc.subjectmath.GT
dc.subjectmath.DG
dc.subject57M50, 57R52, 57M25
dc.titleDehn filling and the geometry of unknotting tunnels
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.2140/gt.2013.17.1815
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T20:27:58Z
refterms.dateFOA2021-02-03T20:28:02Z


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