10 citations · 45 across the 21 of their papers we have counts for
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math.GT2012★ 5 cited
Genus bounds bridge number for high distance knots
Ryan Blair, Marion Campisi, Jesse Johnson +2
If a knot K in a closed, orientable 3-manifold M has a bridge surface T with distance at least 3 in the curve complex of T - K, then the genus of any essential surface in its exter…
math.GT2012★ 3 cited
Exceptional and cosmetic surgeries on knots
Ryan Blair, Marion Campisi, Jesse Johnson +2
We show that the distance of a link with respect to a bridge surface of any genus determines a lower bound on the genus of essential surfaces and Heegaard surfaces in the manif…