Billiard knots in a cylinder

Details Billiard knots in a cylinder Billiard knots in a cylinder

1998-11-02

arxiv.org/abs/math/9811006v1

Mathematics

Geometric Topology

14 pages, 10 figures, to appear in the Journal of Knot Theory

Scientific paper

We define cylinder knots as billiard knots in a cylinder. We present a
necessary condition for cylinder knots: after dividing cylinder knots by
possible rotational symmetries we obtain ribbon knots. We obtain an upper bound
for the number of cylinder knots with two fixed parameters (out of three). In
addition we prove that rosette knots are cylinder knots.

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