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arXiv:0805.2042 [math.GT]AbstractReferencesReviewsResources

Braid ordering and knot genus

Tetsuya Ito

Published 2008-05-14, updated 2009-12-10Version 3

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.

Comments: 10 pages, 6 figures, the main result is improved
Categories: math.GT
Subjects: 57M25
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