The representativity of pretzel knots

Details The representativity of pretzel knots The representativity of pretzel knots

2009-11-16

arxiv.org/abs/0911.2979v1

Mathematics

Geometric Topology

11 pages, 10 figures

Scientific paper

In the present paper, we will show that a $(p,q,r)$-pretzel knot has the
representativity 3 if and only if $(p,q,r)$ is either $\pm(-2,3,3)$ or
$\pm(-2,3,5)$. We also show that a large algebraic knot has the
representativity less than or equal to 3.

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