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Some Remarks on Rotors in Link Theory

Published online by Cambridge University Press:  20 November 2018

Gyo Taek Jin  and
Dale Rolfsen
Gyo Taek Jin
Affiliation:
Korea Institute of Technology
Dale Rolfsen
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Y4
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Abstract

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We present examples showing that certain results on the invariance of link polynomials under generalized mutation are the best possible. They show, moreover, that this generalized mutation cannot be effected by a sequence of ordinary mutations. One of the examples also shows that the reduced Jones polynomial can be a more sensitive invariant than the Jones polynomial itself.

Keywords

57M2557M15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 480 - 484
Copyright
Copyright © Canadian Mathematical Society 1991

References

[APR] Anstee, R., Przytycki, J., Rolfsen, D., Knot polynomials and generalized mutation, Topology and its Applications, to appear.Google Scholar
[C] J. Conway, H., An enumeration of knots and links. In Computational problems in abstract algebra (ed. J. Leech), Pergamon Press, 1969.Google Scholar
[FYHLMOl P. Freyd, Yetter, D., Hoste, J., W. Lickorish, B. R., Millett, K. C., Ocneanu, A., A new polynomial invariant of knots and links, Bull. A.M.S. 12 (1985), 239–246.Google Scholar
[K] Kauffman, L., On knots, Annals of Math. Studies 115(1987).Google Scholar
[RI] Rolfsen, D., PL link isotopy, essential knotting and quotients of polynomials, this volume, 536-541.Google Scholar
[R2] Rolfsen, D., Knots and Links, Publish or Perish, 1976.Google Scholar