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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.GT1998
Decision problems in the space of Dehn fillings
William Jaco, Eric Sedgwick
In this paper, we use normal surface theory to study Dehn filling on a knot-manifold. First, it is shown that there is a finite computable set of slopes on the boundary of a knot-m…