The dealternating number and the alternation number of a closed 3-braid

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We give an upper bound for the dealternating number of a closed 3-braid. As applications, we determine the dealternating numbers, the alternation numbers and the Turaev genera of some closed positive 3-braids. We also show that there exist infinitely many positive knots with any dealternating number (or any alternation number) and any braid index.
We corrected Section 6

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/209980

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.0573
 http://arxiv.org/abs/0808.0573

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arXiv