Ortak jones çokterimlisine sahip n-dolanımlı kanenobu düğümleri

It is still an open question if there exists a non-trivial knot whose Jones poly-nomial is trivial. One way of attacking this problem is to develop a mutationon knots which keeps the Jones polynomial unchanged yet alters the knot it-self. 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 greater than or equal to 3. Watson introduced braidactions for a generalized mutation and used it on the (general) 2-tangle versionof the former family. We will use it on the n-tangle version of the latter. Thiswill give rise to a new method of generating pairs of prime knots which share thesame Jones polynomial but are distinguishable by their HOMFLY polynomials.