42 citations · 434 across the 64 of their papers we have counts for
3 papers · 1 filter
The length of unknotting tunnels
Daryl Cooper, Marc Lackenby, Jessica S. Purcell
We show there exist tunnel number one hyperbolic 3-manifolds with arbitrarily long unknotting tunnel. This provides a negative answer to an old question of Colin Adams.
Cusp areas of Farey manifolds and applications to knot theory
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
This paper gives the first explicit, two-sided estimates on the cusp area of once-punctured torus bundles, 4-punctured sphere bundles, and 2-bridge link complements. The input for…
Symmetric links and Conway sums: volume and Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
We obtain bounds on hyperbolic volume for periodic links and Conway sums of alternating tangles. For links that are Conway sums we also bound the hyperbolic volume in terms of the…