Braid ordering and knot genus

Details Braid ordering and knot genus Braid ordering and knot genus

2008-05-14

arxiv.org/abs/0805.2042v3

Mathematics

Geometric Topology

10 pages, 6 figures, the main result is improved

Scientific paper

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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