논문KCI 등재
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)
- "The Knot Book" (1994)
- "HOMPLY Polynomials of Iterative Families of Links", 11(1), pp.1~12 (2002)
- "A survey of knot theory", berlin (1996), Birkhauser Verlag
- "Linear skein theory and link polynomial", 27, pp.265~274 (1987)
- "Invariants of links and 3-manifolds from skein theory and from quantumgroups", kluwer academic publishers, pp.107~155 (1993)
- "An introductionto the new invariants in low-dimensional topology", pp.154~ (1997), American Mathematical Scoety
- "Quantum Invariants of Knots and 3-Manifolds" (1994)
관련 논문AI추천
The First Four Terms of Kauffman's Link PolynomialTaizo Kanenobu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호A RECURRENCE RELATION FOR THE JONES POLYNOMIALAbdul Rauf Nizami, Barbu Berceanu대한수학회 · 대한수학회지2014 · 제51권 제3호Twist of Knots and the Q-polynomialsChan-young Park, Myeong-ju Jeong, Younhee Choi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호The Kauffman Polynomial and Trivalent GraphsCarmen Caprau, James Tipton경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Finite Type Invariants and Virtual TwistMoves of Virtual KnotsMyeong-Ju Jeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호Some Limits of the Colored Jones Polynomials of the Figure-eight KnotHitoshi Murakami경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호
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