42 citations · 434 across the 64 of their papers we have counts for
3 papers · 1 filter
Hyperbolic semi-adequate links
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
We provide a diagrammatic criterion for semi-adequate links to be hyperbolic. We also give a conjectural description of the satellite structures of semi-adequate links. One applica…
Geodesic systems of tunnels in hyperbolic 3-manifolds
Stephan D. Burton, Jessica S. Purcell
It is unknown whether an unknotting tunnel is always isotopic to a geodesic in a finite volume hyperbolic 3-manifold. In this paper, we address the generalization of this problem t…
Geodesics and compression bodies
Marc Lackenby, Jessica S. Purcell
We consider hyperbolic structures on the compression body C with genus 2 positive boundary and genus 1 negative boundary. Note that C deformation retracts to the union of the torus…