Canonical genus and the Whitehead doubles of pretzel knots

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We show that for an alternating pretzel knot K the canonical genera of its Whitehead doubles W(K) are equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
16 pages, 12 figures

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/115629

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608765
 http://arxiv.org/abs/math/0608765

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arXiv