12 citations · 17 across the 6 of their papers we have counts for
8 papers
Heegaard splittings of the form H + nK
Yoav Moriah, Saul Schleimer, Eric Sedgwick
Suppose that a three-manifold M contains infinitely many distinct strongly irreducible Heegaard splittings H + nK, obtained by Haken summing the surface H with n copies of the surf…
Sphere recognition lies in NP
Saul Schleimer
We prove that the three-sphere recognition problem lies in the complexity class NP. Our work relies on Thompson's original proof that the problem is decidable [Math. Res. Let., 199…
The Pants Complex Has Only One End
Howard Masur, Saul Schleimer
The authors prove that for a closed surface of genus at least 3, the graph of pants decompositions has only one end.
Distance and bridge position
David Bachman, Saul Schleimer
J. Hempel's definition of the distance of a Heegaard surface generalizes to a complexity for a knot which is in bridge position with respect to a Heegaard surface. Our main result…
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…
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…