56 citations · 61 across the 7 of their papers we have counts for
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math.GT2004★ 1 cited
Proximity in the curve complex: boundary reduction and bicompressible surfaces
Martin Scharlemann
Suppose N is a compressible boundary component of a compact orientable irreducible 3-manifold M and Q is an orientable properly embedded essential surface in M in which each compon…
math.GT2004
On the additivity of knot width
Martin Scharlemann, Abigail Thompson
It has been conjectured that the geometric invariant of knots in 3-space called the width is nearly additive. That is, letting w(K) in N denote the width of a knot K in S^3, the co…