$10_ {101}$ has no period $7$: a criterion for periodic links
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- by Paweł Traczyk PDF
- Proc. Amer. Math. Soc. 108 (1990), 845-846 Request permission
Abstract:
We prove that the prime knot ${10_{101}}$ has no period 7 by analyzing its Jones polynomial.References
- Gerhard Burde and Heiner Zieschang, Knots, De Gruyter Studies in Mathematics, vol. 5, Walter de Gruyter & Co., Berlin, 1985. MR 808776 L. H. Kauffman, State models for knot polynomials, Topology, 26 (1987), 395-407.
- Kunio Murasugi, Jones polynomials of periodic links, Pacific J. Math. 131 (1988), no. 2, 319–329. MR 922222, DOI 10.2140/pjm.1988.131.319
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 845-846
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1990-1031676-X
- MathSciNet review: 1031676