Upper Bounds for Ropelength as a Function of Crossing Number

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The paper provides bounds for the ropelength of a link in terms of the crossing numbers of its split components. As in earlier papers, the bounds grow with the square of the crossing number; however, the constant involved is a substantial improvement on previous results. The proof depends essentially on writing links in terms of their arc-presentations, and has as a key ingredient Bae and Park's theorem that an n-crossing link has an arc-presentation with less than or equal to n+2 arcs.
11 pages, 14 figures. Replacement corrects EPS font problem in figure

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Geometric Topology, Differential Geometry, 49Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/65315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210245
 http://arxiv.org/abs/math/0210245

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arXiv