Involutions of knots that fix unknotting tunnels

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Let K be a knot that has an unknotting tunnel tau. We prove that K admits a strong involution that fixes tau pointwise if and only if K is a two-bridge knot and tau its upper or lower tunnel.
9 pages, 3 figures

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Geometric Topology, 57M25; 57N10

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http://salesiana.dossiersoluciones.com/handle/123456789/222397

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401421
 http://arxiv.org/abs/math/0401421
 Journal of Knot Theory and its Ramifications 16 (2007), No. 6, 741-748.
 doi:10.1142/S0218216507005506

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arXiv