Thinning genus two Heegaard spines in the 3-sphere

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We study trivalent graphs in $S^{3}$ whose closed complement is a genus two handlebody. We show that such a graph, when put in thin position, has a simple (i. e. non-loop) level edge.
26 pages, 15 figures

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/62599

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111099
 http://arxiv.org/abs/math/0111099

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arXiv