12 citations · 17 across the 6 of their papers we have counts for
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math.GT2002★ 1 cited
Surface bundles versus Heegaard splittings
David Bachman, Saul Schleimer
This paper studies Heegaard splittings of surface bundles via the curve complex of the fibre. The translation distance of the monodromy is the smallest distance it moves any vertex…
math.GT2002
Strongly irreducible surface automorphisms
Saul Schleimer
A surface automorphism is strongly irreducible if every essential simple closed curve in the surface has nontrivial geometric intersection with its image. We show that a three-mani…
math.GT2002
Thin Position for Tangles
David Bachman, Saul Schleimer
If a tangle, K, in the 3-ball has no planar, meridional, essential surfaces in its exterior then thin position for K has no thin levels.