Braid ordering and knot genus
classification
🧮 math.GT
keywords
genusbraidcomplexityknotsorderingboundbraidsdehornoy
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The genus of knots is a one of the fundamental invariant and can be seen as a complexity of knots. In this paper, we give a lower bound of genus using Dehornoy floor, which is a measure of complexity of braids in terms of braid ordering.
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