Oriented toral knot lattices

Walker, Russell B.

doi:10.1090/S0002-9939-1983-0677258-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Oriented toral knot lattices
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by Russell B. Walker PDF

Proc. Amer. Math. Soc. 87 (1983), 181-186 Request permission

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

Steve Fisk, Geometric coloring theory, Advances in Math. 24 (1977), no. 3, 298–340. MR 498207, DOI 10.1016/0001-8708(77)90061-5
Russell B. Walker, Morse and generic contact between foliations, Trans. Amer. Math. Soc. 254 (1979), 265–281. MR 539918, DOI 10.1090/S0002-9947-1979-0539918-1

Contact between foliations