Non-parallel essential surfaces in knot complements

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We show that if a knot or link has n thin levels when put in thin position then its exterior contains a collection of n disjoint, non-parallel, planar, meridional, essential surfaces. A corollary is that there are at least n/3 tetrahedra in any triangulation of the complement of such a knot.
10 pages, 4 figures. Revised version

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/66597

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302272
 http://arxiv.org/abs/math/0302272

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arXiv