162 citations · 194 across the 3 of their papers we have counts for
5 papers
Dehn filling, volume, and the Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
Given a hyperbolic 3-manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give expli…
Angled decompositions of arborescent link complements
David Futer, François Guéritaud
This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angle…
The Jones polynomial and graphs on surfaces
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li…
On canonical triangulations of once-punctured torus bundles and two-bridge link complements
Francois Gueritaud, David Futer
We prove the hyperbolization theorem for punctured torus bundles and two-bridge link complements by decomposing them into ideal tetrahedra which are then given hyperbolic structure…
Involutions of knots that fix unknotting tunnels
David Futer
Let K be a knot that has an unknotting tunnel tau. We prove that K admits a strong involution that fixes tau pointwise if and only if K is a two-bridge knot and tau its upper or lo…