논문KCI 등재
Knots with a Trivial Coefficient Polynomial
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참고문헌
키워드
주제분류수학
초록
By using a tangle decomposition of a knot, we give a method for the construction of a knot with the lowest trivial HOMFLY coefficient polynomial. Applying this, we show that there exist infinitely many 2-bridge knots with such a coefficient polynomial.
Abstract
By using a tangle decomposition of a knot, we give a method for the construction of a knot with the lowest trivial HOMFLY coefficient polynomial. Applying this, we show that there exist infinitely many 2-bridge knots with such a coefficient polynomial.
참고문헌 (10)
- J. H. Conway, "An enumeration of knots and links, in Computational Problems in Abstract Algebra", pp.329~358 (1969), Pergamon Press
- P. Freyd, "A new polynomial invariant of knots and links", Bull. Amer. Math. Soc, 12, pp.239~246 (1985)
- Y. Fujino, "H(n)-unknotting number of a knot", Proceedings of the Conference “Knots and Low Dimensional Manifolds”, pp.72~85 (1997)
- J. Hoste, "Unknotting operations involving trivial tangles", Osaka J. Math, 27, pp.555~566 (1990)
- T. Kanenobu, "Kauffman polynomials as Vassiliev link invariants, in Knots 96", pp.411~431 (1997), World Scientific
- L. H. Kauffman, "An invariant of regular isotopy", Trans. Amer. Math. Soc, 318, pp.417~471 (1990)
- A. Kawauchi, "Almost identical link imitations and the skein polynomial, in Knots 90", pp.465~476 (1992), Walter de Gruyter
- W. B. R. Lickorish, "An Introduction to Knot Theory" (1986), Springer-Verlag
- W. B. R. Lickorish, "A polynomial invariant of oriented links", Topology, 26, pp.107~141 (1987)
- J. H. Przytycki, "Invariants of links of Conway type", Kobe J. Math, 4, pp.115~139 (1987)
관련 논문AI추천
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