References
- C. Adams, M. Hildebrand, and J.Weeks, Hyperbolic invariants of knots and links, Trans. Amer. Math. Soc. 326 (1991), no. 1, 1-56. https://doi.org/10.1090/S0002-9947-1991-0994161-2
- D. Bar-Natan and S. Morrison, The Mathematica package KnotTheory. The Knot Atlas, http://katlas.math.toronto.edu/wiki/.
- G. Burde and H. Zieschang, Knots, second edition, De Gruyter Studies in Mathematics, 5, Walter de Gruyter & Co., Berlin, 2003.
- C. Caprau and J. Tipton, The Kauffman polynomial and trivalent graphs, Kyungpook Math. J. 55 (2015), no. 4, 779-806. https://doi.org/10.5666/KMJ.2015.55.4.779
- N. Chbili, Strong periodicity of links and the coefficients of the Conway polynomial, Proc. Amer. Math. Soc. 136 (2008), no. 6, 2217-2224. https://doi.org/10.1090/S0002-9939-08-09266-6
- N. Chbili, Le polynome de Hom y des noeuds librement periodiques, C. R. Acad. Sci. Paris Ser. I Math. 325 (1997), no. 4, 411-414. https://doi.org/10.1016/S0764-4442(97)85626-1
- N. Chbili, Equivalent Khovanov homology associated with symmetric links, Kobe J. Math. 27 (2010), no. 1-2, 73-89.
- J. F. Davis and C. Livingston, Alexander polynomials of periodic knots, Topology 30 (1991), no. 4, 551-564. https://doi.org/10.1016/0040-9383(91)90039-7
- K. Hendricks, A note on the Floer homology of doubly-periodic knots. Preprint, arXiv:1206.5989v1.
- J. A. Hillman, C. Livingston, and S. Naik, Twisted Alexander polynomials of periodic knots, Algebr. Geom. Topol. 6 (2006), 145-169. https://doi.org/10.2140/agt.2006.6.145
- S. Jabuka and S. Naik, Periodic knots and Heegaard Floer correction terms, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 8, 1651-1674. https://doi.org/10.4171/JEMS/624
- L. H. Kauffman, An invariant of regular isotopy, Trans. Amer. Math. Soc. 318 (1990), no. 2, 417-471. https://doi.org/10.1090/S0002-9947-1990-0958895-7
- W. B. R. Lickorish, Some link-polynomial relations, Math. Proc. Cambridge Philos. Soc. 105 (1989), no. 1, 103-107. https://doi.org/10.1017/S0305004100001390
- W. B. R. Lickorish, An Introduction to Knot Theory, Graduate Texts in Mathematics, 175, Springer-Verlag, New York, 1997.
- K. Murasugi, On periodic knots, Comment. Math. Helv. 46 (1971), 162-174. https://doi.org/10.1007/BF02566836
- K. Murasugi, On symmetry of knots, Tsukuba J. Math. 4 (1980), no. 2, 331-347. https://doi.org/10.21099/tkbjm/1496159185
- 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
- S. Naik, Periodicity, genera and Alexander polynomials of knots, Pacific J. Math. 166 (1994), no. 2, 357-371. https://doi.org/10.2140/pjm.1994.166.357
- S. Naik, New invariants of periodic knots, Math. Proc. Cambridge Philos. Soc. 122 (1997), no. 2, 281-290. https://doi.org/10.1017/S0305004197001801
- J. H. Przytycki, On Murasugi's and Traczyk's criteria for periodic links, Math. Ann. 283 (1989), no. 3, 465-478. https://doi.org/10.1007/BF01442739
- M. B. Thistlethwaite, On the Kauffman polynomial of an adequate link, Invent. Math. 93 (1988), no. 2, 285-296. https://doi.org/10.1007/BF01394334
- P. Traczyk, 10101 has no period 7: a criterion for periodic links, Proc. Amer. Math. Soc. 108 (1990), no. 3, 845-846. https://doi.org/10.1090/S0002-9939-1990-1031676-X
- P. Traczyk, Periodic knots and the skein polynomial, Invent. Math. 106 (1991), no. 1, 73-84. https://doi.org/10.1007/BF01243905
- Y. Yokota, The Jones polynomial of periodic knots, Proc. Amer. Math. Soc. 113 (1991), no. 3, 889-894. https://doi.org/10.1090/S0002-9939-1991-1064908-3
- Y. Yokota, The Kauffman polynomial of periodic knots, Topology 32 (1993), no. 2, 309-324. https://doi.org/10.1016/0040-9383(93)90022-N