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math.GT2004★ 1 cited
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…
math.GT2004★ 2 cited
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…