Invertible knot concordances and prime knots

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Kirby and Lickorish showed that every knot in the 3-sphere is concordant to a prime knot, equivalently, every concordance class contains a prime knot. We prove here that their result can be strengthened: Every knot in the 3-sphere is invertibly concordant to a prime knot. A consequence is that every double concordance class contains a prime knot.
6 pages, 3 figures, LaTeX 2e

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/58815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003034
 http://arxiv.org/abs/math/0003034

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arXiv