Conway algebras and skein equivalence of links
HTML articles powered by AMS MathViewer
- by Józef H. Przytycki and Paweł Traczyk PDF
- Proc. Amer. Math. Soc. 100 (1987), 744-748 Request permission
Abstract:
We consider a class of pairs of links which are not skein equivalent but have the same invariant in every Conway algebra.References
- Joan S. Birman, On the Jones polynomial of closed $3$-braids, Invent. Math. 81 (1985), no. 2, 287–294. MR 799267, DOI 10.1007/BF01389053
- J. H. Conway, An enumeration of knots and links, and some of their algebraic properties, Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967) Pergamon, Oxford, 1970, pp. 329–358. MR 0258014
- P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millett, and A. Ocneanu, A new polynomial invariant of knots and links, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 2, 239–246. MR 776477, DOI 10.1090/S0273-0979-1985-15361-3
- Cole A. Giller, A family of links and the Conway calculus, Trans. Amer. Math. Soc. 270 (1982), no. 1, 75–109. MR 642331, DOI 10.1090/S0002-9947-1982-0642331-X
- C. McA. Gordon, Some aspects of classical knot theory, Knot theory (Proc. Sem., Plans-sur-Bex, 1977) Lecture Notes in Math., vol. 685, Springer, Berlin, 1978, pp. 1–60. MR 521730
- Vaughan F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 103–111. MR 766964, DOI 10.1090/S0273-0979-1985-15304-2
- Louis H. Kauffman, The Conway polynomial, Topology 20 (1981), no. 1, 101–108. MR 592573, DOI 10.1016/0040-9383(81)90017-3
- W. B. R. Lickorish and Kenneth C. Millett, A polynomial invariant of oriented links, Topology 26 (1987), no. 1, 107–141. MR 880512, DOI 10.1016/0040-9383(87)90025-5
- Kunio Murasugi, On closed $3$-braids, Memoirs of the American Mathematical Society, No. 151, American Mathematical Society, Providence, R.I., 1974. MR 0356023
- Józef H. Przytycki and PawełTraczyk, Invariants of links of Conway type, Kobe J. Math. 4 (1988), no. 2, 115–139. MR 945888
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 744-748
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894448-2
- MathSciNet review: 894448