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math.GT2013★ 1 cited
Disk complexes and genus two Heegaard splittings for non-prime 3-manifolds
Sangbum Cho, Yuya Koda
Given a genus two Heegaard splitting for a non-prime 3-manifold, we define a special subcomplex of the disk complex for one of the handlebodies of the splitting, and then show that…
math.GT2013★ 3 cited
The genus two Goeritz group of
Sangbum Cho, Yuya Koda
The genus-g Goeritz group is the group of isotopy classes of orientation-preserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splittin…