%0 Journal Article %T Braid ordering and knot genus %A Tetsuya Ito %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0805.2042v3