Hyperbolic Knots given by Positive Braids with at Least two Full Twists

Abstract

We give some conditions on positive braids with at least two full twists that ensure their closure is a hyperbolic knot, with applications to the geometric classification of T-links, arising from dynamics, and twisted torus knots.

arXiv comment11 pages, 3 figures. V2 contains minor changes. To appear in Proceedings of the AMS