Abigail Thompson

2 citations · 2 across the 1 of their papers we have counts for

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math.GT2009★ 2 cited

Fibered knots and Property 2R

Martin Scharlemann, Abigail Thompson

It is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among component…

math.GT2006★ 5 cited

On tunnel number one knots that are not (1,n)

Jesse Johnson, Abigail Thompson

We show that the bridge number of a $t$ bridge knot in $S^{3}$ with respect to an unknotted genus $t$ surface is bounded below by a function of the distance of the Heegaard splitting…