Geometry of Generalized Augmented Braids

Abstract

A generalized augmented link of a knot $K$ is a link obtained by adding trivial components to $K$ that bound $n$-punctured disks. In this paper we consider that $K$ is given by a positive braid with at least one full twist. We characterize when the generalized augmented links of $K$ have hyperbolic geometry.

14 pages, 1 figure