The representativity of pretzel knots

Makoto Ozawa

The representativity of pretzel knots

Geometric Topology 2009-11-17 v1

Authors: Makoto Ozawa

Abstract

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.

Keywords

pretzel knot representativity algebraic knot knot theory 3-manifold

Cite

@article{arxiv.0911.2979,
  title  = {The representativity of pretzel knots},
  author = {Makoto Ozawa},
  journal= {arXiv preprint arXiv:0911.2979},
  year   = {2009}
}

Comments

11 pages, 10 figures

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