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Twisting Some Classes of Links

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We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we conclude that these three classes of links are infinite

Abstract

We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we conclude that these three classes of links are infinite

참고문헌 (11)

  1. A. Champanerkar, "Twisting Quasi-alternating Links", Proc. Amer. Math. Soc., 137(7), pp.2451~2458 (2009)
  2. P. Cromwell, "Homogeneous links", J. London Math. Soc., 39, pp.535~552 (1989)
  3. L. Kauffman, "Formal Knot Theory" (2006), Dover Publications
  4. L. Kauffman, "Unknots and Molecular Biology", Milan. J. math., 74, pp.227~263 (2006)
  5. L. Kauffman, "Determinants of rational knots", Discrete Math. Theoret Comput. Sci., 11(2), pp.111~122 (2009)
  6. W. Lickorish, "Some links with non-trivial polynomials and their crossing-numbers", Comment. Math. Helv., 63(4), pp.527~539 (1988)
  7. K. Qazaqzeh, "Characterization of quasi-alternating Montesinos links", J. Knot Theory Ramif., 24(1), pp.155000~ (2015)
  8. H. Seifert, "Uber das Geschlecht von Knoten", Math. Ann., 110, pp.571~592 (1935)
  9. M. Thistlewaite, "On the Kauffman polynomial of an adequate link", Invent. Math., 93, pp.285~296 (1988)

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