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dc.contributor.authorJaco, W
dc.contributor.authorRubinstein, JH
dc.contributor.authorSedgwick, E
dc.date.available2014-05-21T22:45:00Z
dc.date.issued2009-03-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000265094000005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=d4d813f4571fa7d6246bdc0dfeca3a1c
dc.identifier.citationJaco, W., Rubinstein, J. H. & Sedgwick, E. (2009). FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 18 (3), pp.397-446. https://doi.org/10.1142/S0218216509006987.
dc.identifier.issn0218-2165
dc.identifier.urihttp://hdl.handle.net/11343/29232
dc.description.abstractIt is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct one. Two similar results are obtained with added boundary conditions. Namely, given a link-manifold M, a component B of ∂M, and a slope γ on B, there is an algorithm to decide if there is an embedded punctured-disk in M with boundary γ and punctures in ∂M\B; and given a link-manifold M, a component B of ∂M, and a meridian slope μ on B, there is an algorithm to decide if there is an embedded punctured-disk with boundary a longitude on B and punctures in ∂M\B. In both cases, if there is one, the algorithm will construct one. The proofs introduce a number of new methods and differ from the classical proofs, using normal surfaces, as solutions may not be found among the fundamental solutions.
dc.languageEnglish
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.subjectPure Mathematics
dc.titleFINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS
dc.typeJournal Article
dc.identifier.doi10.1142/S0218216509006987
melbourne.peerreviewPeer Reviewed
melbourne.affiliationThe University of Melbourne
melbourne.affiliation.departmentMathematics and Statistics
melbourne.source.titleJournal of Knot Theory and Its Ramifications
melbourne.source.volume18
melbourne.source.issue3
melbourne.source.pages397-446
dc.description.pagestart397
melbourne.publicationid135349
melbourne.elementsid316705
melbourne.contributor.authorRubinstein, Joachim
dc.identifier.eissn1793-6527
melbourne.accessrightsThis item is currently not available from this repository


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