8 citations · 21 across the 12 of their papers we have counts for
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math.GT2017★ 4 cited
Prime knot complements with meridional essential surfaces of arbitrarily high genus
João Miguel Nogueira
We show the existence of infinitely many prime knots each of which having in their complements meridional essential surfaces with two boundary components and arbitrarily high genus…
math.GT2017★ 3 cited
The number of strings on essential tangle decompositions of a knot can be unbounded
João Miguel Nogueira
We construct an infinite collection of knots with the property that any knot in this family has -string essential tangle decompositions for arbitrarily high .