Recognizing trace graphs of closed braids

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To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetraherdal moves. For closed braids with a fixed number of strands, we recognize trace graphs up to isotopy and trihedral moves in polynomial time with respect to the braid length.
20 pages, 15 figures

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Geometric Topology, Algebraic Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/167363

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2713
 http://arxiv.org/abs/0808.2713

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arXiv