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초록· 키워드
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In this paper, we give a recursive formula for the Jones
polynomial of a 2-bridge knot or link with Conway normal form
C(-2n_1,2n_2,-2n_3,…, (-1)^r2n_r) in terms of
n_1, n_2,…, n_r. As applications, we also give a recursive
formula for the Jones polynomial of a 3-periodic link L^(3)
with rational quotient L = C(2, n_1, -2, n_2,…,n_r,
(-1)^r 2) for any nonzero integers n_1, n_2,…,n_r and
give a formula for the span of the Jones polynomial of L^(3)
in terms of n_1, n_2,…, n_r with n_i ≠ ±1 for all
i = 1, 2,…,r.
목차
등록된 정보가 없습니다.
참고문헌 (23)
참고문헌 신청
A. Stoimenow / 2000 / Rational knots and a theorem of Kanenobu / Experiment. Math. 9 (3) : 473 ~ 478
B. Lu / / The Kauffman Polynomials of 2-bridge Knots
D. Rolfsen / 1976 / Knots and Links, Mathematics Lecture Series / Publish or Perish, Inc.
H. J. Jang / 2007 / Casson knot invariants of periodic knots with rational quotients / J. Knot Theory Ramifications 16 (4) : 439 ~ 460
H. M. Hilden / 2000 / On the character variety of periodic knots and links / Math. Proc. Cambridge Philos. Soc. 129 (3) : 477 ~ 490
B. Lu / / The Kauffman Polynomials of 2-bridge Knots
D. Rolfsen / 1976 / Knots and Links, Mathematics Lecture Series / Publish or Perish, Inc.
H. J. Jang / 2007 / Casson knot invariants of periodic knots with rational quotients / J. Knot Theory Ramifications 16 (4) : 439 ~ 460
H. M. Hilden / 2000 / On the character variety of periodic knots and links / Math. Proc. Cambridge Philos. Soc. 129 (3) : 477 ~ 490
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