참고문헌
- J. H. Conway, An enumeration of knots and links, and some of their algebraic properties, 1970 Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967) pp. 329. 358 Pergamon, Oxford
- H. M. Hilden, M. T. Lozano, and J. M. Montesinos-Amilibia, On the character variety of periodic knots and links, Math. Proc. Cambridge Philos. Soc. 129 (2000), no. 3, 477.490 https://doi.org/10.1017/S0305004100004679
- H. J. Jang, S. Y. Lee, and M. Seo, Casson knot invariants of periodic knots with rational quotients, J. Knot Theory Ramifications 16 (2007), no. 4, 439.460 https://doi.org/10.1142/S0218216507005373
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 103.111 https://doi.org/10.1090/S0273-0979-1985-15304-2
- T. Kanenobu, Examples on polynomial invariants of knots and links. II, Osaka J. Math. 26 (1989), no. 3, 465.482
- T. Kanenobu, Jones and Q polynomials for 2-bridge knots and links, Proc. Amer. Math. Soc. 110 (1990), no. 3, 835.841
- T. Kanenobu and Y. Miyazawa, 2-bridge link projections, Kobe J. Math. 9 (1992), no. 2, 171.182
- L. H. Kauffman, State models and the Jones polynomial, Topology 26 (1987), no. 3, 395.407 https://doi.org/10.1016/0040-9383(87)90009-7
- S. Y. Lee, M.-S. Park, and M. Seo, The Seifert matrices of periodic links with rational quotients, Kyungpook Math. J. 47 (2007), no. 2, 295.309
- S. Y. Lee and M. Seo, Recurrence formulas for the Alexander polynomials of 2-bridge links and their covering links, J. Knot Theory Ramifications 15 (2006), no. 2, 179.203 https://doi.org/10.1142/S0218216506004403
- S. Y. Lee and M. Seo, Casson knot invariants of periodic knot with rational quotients II, J. Knot Theory Ramifications 17 (2008), no. 8, 905.923 https://doi.org/10.1142/S0218216508006440
- S. Y. Lee and M. Seo, The genus of periodic links with rational quotients, to appear in Bull. Austral. Math. Soc. (2009) https://doi.org/10.1017/S0004972708001251
- W. B. R. Lickorish and K. C. Millett, A polynomial invariant of oriented links, Topology 26 (1987), no. 1, 107.141 https://doi.org/10.1016/0040-9383(87)90025-5
- B. Lu and J. K. Zhong, The Kauffman Polynomials of 2-bridge Knots, arXiv:math. GT/0606114
- K. Murasugi, Jones polynomials and classical conjectures in knot theory, Topology 26 (1987), no. 2, 187.194 https://doi.org/10.1016/0040-9383(87)90058-9
- K. Murasugi, Jones polynomials of periodic links, Pacific J. Math. 131 (1988), no. 2, 319.329 https://doi.org/10.2140/pjm.1988.131.319
- K. Murasugi, Knot Theory and its Applications, Translated from the 1993 Japanese original by Bohdan Kurpita. Birkhauser Boston, Inc., Boston, MA, 1996
- S. Nakabo, Formulas on the HOMFLY and Jones polynomials of 2-bridge knots and links, Kobe J. Math. 17 (2000), no. 2, 131.144
- S. Nakabo, Explicit description of the HOMFLY polynomials for 2-bridge knots and links, J. Knot Theory Ramifications 11 (2002), no. 4, 565.574 https://doi.org/10.1142/S0218216502001834
- D. Rolfsen, Knots and Links, Mathematics Lecture Series, No. 7. Publish or Perish, Inc., Berkeley, Calif., 1976
-
H. Schubert, Knoten mit zwei Br
$\ddot{u}$ cken, Math Z. 65 (1956), 133.170 https://doi.org/10.1007/BF01473875 - A. Stoimenow, Rational knots and a theorem of Kanenobu, Experiment. Math. 9 (2000), no. 3, 473.478 https://doi.org/10.1080/10586458.2000.10504423
- M. B. Thistlethwaite, Kauffman's polynomial and alternating links, Topology 27 (1988), no. 3, 311.318 https://doi.org/10.1016/0040-9383(88)90012-2