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Oriented toral knot lattices


Author: Russell B. Walker
Journal: Proc. Amer. Math. Soc. 87 (1983), 181-186
MSC: Primary 57M15; Secondary 05C10, 57M25
DOI: https://doi.org/10.1090/S0002-9939-1983-0677258-7
MathSciNet review: 677258
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Abstract: The common intersections between two sets of toral knots, having differing toral knot types and differing sequences of orientations, are removed. The remaining arc-segments are reconnected in a prescribed manner. In closed form, the number of "resulting loops" is provided.


References [Enhancements On Off] (What's this?)

  • [1] Steven Fisk, Geometric coloring theory, Adv. in Math. 24 (1977), 298-340. MR 0498207 (58:16362)
  • [2] Russell Walker, Morse and generic contact between foliations, Trans. Amer. Math. Soc. 254 (1979), 265-281. MR 539918 (82i:58053)
  • [3] -, Contact between foliations, Thesis, University of California, Berkeley, 1977.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0677258-7
Keywords: Toral knot, oriented lattices
Article copyright: © Copyright 1983 American Mathematical Society

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