Show simple item record

dc.contributor.advisorDegtyarev, Alexander
dc.contributor.authorKutluay, Deniz
dc.date.accessioned2016-01-08T18:12:51Z
dc.date.available2016-01-08T18:12:51Z
dc.date.issued2010
dc.identifier.urihttp://hdl.handle.net/11693/15071
dc.descriptionAnkara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2010.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2010.en_US
dc.descriptionIncludes bibliographical references leaves 37-38.en_US
dc.description.abstractIt is still an open question if there exists a non-trivial knot whose Jones polynomial is trivial. One way of attacking this problem is to develop a mutation on knots which keeps the Jones polynomial unchanged yet alters the knot itself. Using such a mutation; Eliahou, Kauffmann and Thistlethwaite answered, affirmatively, the analogous question for links with two or more components. In a paper of Kanenobu, two types of families of knots are presented: a 2- parameter family and an n-parameter family for n ≥ 3. Watson introduced braid actions for a generalized mutation and used it on the (general) 2-tangle version of the former family. We will use it on the n-tangle version of the latter. This will give rise to a new method of generating pairs of prime knots which share the same Jones polynomial but are distinguishable by their HOMFLY polynomials.en_US
dc.description.statementofresponsibilityKutluay, Denizen_US
dc.format.extentix, 38 leavesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBraid actionen_US
dc.subjectJones polynomialen_US
dc.subjectKanenobu knoten_US
dc.subjectMutationen_US
dc.subjectTangleen_US
dc.subject.lccQA612.2 .K88 2010en_US
dc.subject.lcshBraid theory.en_US
dc.subject.lcshKnot theory.en_US
dc.subject.lcshPolynomials.en_US
dc.titleN-tangle Kanenobu knots with the same Jones polynomialsen_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record