paper

On the fractional Dehn twist coefficients of branched coverings

arXiv:1807.04398

Abstract

We discuss how the fractional Dehn twist coefficient behaves under a fully ramified branched covering of an open book, and give applications to both topological and contact 3-manifolds. Among them, we show that non-right-veering closed braids represent virtually loose transverse links.

13 pages, 1 figure. Part of the paper was originally contained in the early (but not the latest) version of "Quasi-right-veering braids and non-loose links"