8 citations · 14 across the 11 of their papers we have counts for
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math.GT2017★ 3 cited
Hyperbolic manifolds containing high topological index surfaces
Marion Campisi, Matt Rathbun
If a graph is in bridge position in a 3-manifold so that the graph complement is irreducible and boundary irreducible, we generalize a result of Bachman and Schleimer to prove that…
math.GT2017
Complete classification of generalized crossing changes between GOF-knots
Kai Ishihara, Matt Rathbun
We analyze all monodromies of genus one fibered knots that possess clean or once-unclean arcs, and use this to determine all manifolds containing genus one fibered knots with gener…
math.GT2017★ 1 cited
Additional cases of positive twisted torus knots
Evan Amoranto, Brandy Doleshal, Matt Rathbun
A twisted torus knot is a knot obtained from a torus knot by twisting adjacent strands by full twists. The twisted torus knots lie in , the genus 2 Heegaard surface for . P…