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

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

2008-08-05

arxiv.org/abs/0808.0573v2

Mathematics

Geometric Topology

We corrected Section 6

Scientific paper

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.

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