5 citations · 8 across the 15 of their papers we have counts for
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math.GT2010
Rectangle condition for compression body and 2-fold branched covering
Jungsoo Kim, Jung Hoon Lee
We give the rectangle condition for strong irreducibility of Heegaard splittings of -manifolds with non-empty boundary. We apply this to a generalized Heegaard splitting of a $2…
math.GT2010★ 2 cited
Examples of unstabilized critical Heegaard surfaces
Jung Hoon Lee
We show that the standard minimal genus Heegaard splitting of (closed orientable surface)\times S^1 is a critical Heegaard splitting.
math.GT2010
Twisted torus knots T(p,q,3,s) are tunnel number one
Jung Hoon Lee
We show that twisted torus knots are tunnel number one. A short spanning arc connecting two adjacent twisted strands is an unknotting tunnel.