Realizations of Seifert matrices by hyperbolic knots

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Recently Kearton showed that any Seifert matrix of a knot is S--equivalent to the Seifert matrix of a prime knot. We show in this note that such a matrix is in fact S--equivalent to the Seifert matrix of a hyperbolic knot. This result follows from reinterpreting this problem in terms of Blanchfield pairings and by applying results of Kawauchi.
4 pages, to be published by the Journal of Knot Theory and its Ramifications

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/127930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3390
 http://arxiv.org/abs/0704.3390

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arXiv