On tunnel number one knots that are not (1,n)

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We show that the bridge number of a $t$ bridge knot in $S^3$ with respect to an unknotted genus $t$ surface is bounded below by a function of the distance of the Heegaard splitting induced by the $t$ bridges. It follows that for any natural number $n$, there is a tunnel number one knot in $S^3$ that is not $(1,n)$.
7 pages

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Geometric Topology, 57M

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http://salesiana.dossiersoluciones.com/handle/123456789/122043

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606226
 http://arxiv.org/abs/math/0606226

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arXiv