Closed incompressible surfaces in the complements of positive knots

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We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splitability and the primeness of positive knots and links can be seen from their positive diagrams.
6 pages, 6 figures

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/61351

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104219
 http://arxiv.org/abs/math/0104219

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arXiv