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math.GT2022
Note on primitive disk complexes
Sangbum Cho, Jung Hoon Lee
Given a Heegaard splitting of the -sphere, the primitive disk complex is defined to be the full subcomplex of the disk complex for one of the handlebodies of the splitting. It i…
math.GT2014
Linearly embedded graphs in 3-space with homotopically free exteriors
Youngsik Huh, Jung Hoon Lee
An embedding of a graph into is said to be linear, if any edge of the graph is sent to be a line segment. And we say that an embedding of a graph into $\math…
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.