15 citations · 21 across the 3 of their papers we have counts for
3 papers
math.GT2015
On the group action of on the disk complex
Jungsoo Kim
Let be a weakly reducible, unstabilized, Heegaard splitting of genus at least three in an orientable, irreducible -manifold . Then na…
math.GT2014★ 6 cited
A topologically minimal, weakly reducible, unstabilized Heegaard splitting of genus three is critical
Jungsoo Kim
Let (V,W;F) be a weakly reducible, unstabilized, genus three Heegaard splitting in an orientable, irreducible 3-manifold M. In this article, we prove that either the disk complex D…
math.GT2012★ 15 cited
On critical Heegaard splittings of tunnel number two composite knot exteriors
Jungsoo Kim
In this article, we prove that a tunnel number two knot induces a critical Heegaard splitting in its exterior if there are two weak reducing pairs such that each weak reducing pair…