29 citations · 204 across the 36 of their papers we have counts for
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math.GT2013★ 19 cited
Bridge distance and plat projections
Jesse Johnson, Yoav Moriah
We calculate the bridge distance for -bridge knots/links in the -sphere with sufficiently complicated -plat projections. In particular we show that if the underlying brai…
math.GT2013
Distance Two Links
Ryan Blair, Marion Campisi, Jesse Johnson +2
In this paper, we characterize all links in the 3-sphere with bridge number at least three that have a bridge sphere of distance two. We show that a link L has a bridge sphere of d…
math.GT2013★ 6 cited
Non-uniqueness of high distance Heegaard splittings
Jesse Johnson
Kevin Hartshorn showed that if a three-dimensional manifold admits a Heegaard surface with Hempel distance then every incompressible surface in has genus at least $…