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A Recurrence Relation of Kauffman Bracket Polynomials

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Abstract

We will introduce an iterative family of link diagrams fP]kQn gn 2 . , in which the family of periodic links and Chan’s iterative family of links are included, and show that their Kauffman bracket polynomials fhP]kQn ig satisfy a homogeneous linear recurrence relation which depends only on Q.

참고문헌 (7)

  1. "The Knot Book" (1994)
  2. "HOMPLY Polynomials of Iterative Families of Links", 11(1), pp.1~12 (2002)
  3. "A survey of knot theory", berlin (1996), Birkhauser Verlag
  4. "Linear skein theory and link polynomial", 27, pp.265~274 (1987)
  5. "Invariants of links and 3-manifolds from skein theory and from quantumgroups", kluwer academic publishers, pp.107~155 (1993)
  6. "An introductionto the new invariants in low-dimensional topology", pp.154~ (1997), American Mathematical Scoety
  7. "Quantum Invariants of Knots and 3-Manifolds" (1994)

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