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math.GT2002
Morimoto's Conjecture for m-small knots
Tsuyoshi Kobayashi, Yo'av Rieck
Let be the exterior of connected sum of knots and the exteriors of the individual knots. In \cite{morimoto1} Morimoto conjectured (originally for ) that $g(X) < σ_{i…
math.GT2002
Local detection of strongly irreducible Heegaard splittings via knot exteriors
Tsuyoshi Kobayashi, Yo'av Rieck
We study the way a strongly irreducible Heegaard surface intersects a knot exterior embedded in a 3-manifold, and show that if consists of simple closed…