32 citations · 64 across the 16 of their papers we have counts for
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math.GT2008★ 5 cited
Surgery on a knot in (Surface x I)
Martin Scharlemann, Abigail Thompson
Suppose F is a compact orientable surface, K is a knot in F x I, and N is the 3-manifold obtained by some non-trivial surgery on K. If F x {0} compresses in N, then there is an ann…
math.GT2008★ 32 cited
Stabilization of Heegaard splittings
Joel Hass, Abigail Thompson, William Thurston
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at mos…