162 citations · 690 across the 42 of their papers we have counts for
Showing 2004 · math.GTShow all
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math.GT2004★ 28 cited
Links with no exceptional surgeries
David Futer, Jessica S. Purcell
We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and at least 6 crossings per twist region, then every non-trivial Dehn filling of that kn…
math.GT2004★ 69 cited
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…
math.GT2004★ 8 cited
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…