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math.GT2002
On the intersection of unknotting tunnels and the decomposing annulus in connected sums
Yoav Moriah
Given a Heegaard splitting of the complement of a composite knot $K=K_1# K_2$ in , where are prime knots, we have a unique, up to isotopy, decomposing…
math.GT2002
A finiteness result for Heegaard splittings
Martin Lustig, Yoav Moriah
In this paper we show that for a given 3-manifold and a given Heegaard splitting there are finitely many preferred decomposing systems of disjoint essential disks. These a…
math.GT2002
On boundary primitive manifolds and a theorem of Casson-Gordon
Yoav Moriah
In this paper it is shown that manifolds admitting minimal genus weakly reducible but irreducible Heegaard splittings contain an essential surface. This is an extension of a well k…