Tetsuya Ito

The braid group has a left-invariant total ordering, called the Dehornoy ordering. In this talk, I will introduce the Dehornoy floor of braids, which measures a complexity of braids by using the Dehornoy ordering. I will give a new lower bound of...

Abstract Every transverse knot in a contact 3-manifold is represented as a closed braid in an open book. In this talk, based on a new technique called an open book foliation, we give a formula of self-linking number in terms of braids and open books...