19 citations · 65 across the 40 of their papers we have counts for
40 papers
Handlebody decompositions of 3-manifolds and polycontinuous patterns
Naoki Sakata, Ryosuke Mishina, Masaki Ogawa +4
We introduce the concept of a handlebody decomposition of a 3-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a c…
Stable equivalence of bridge positions of a handlebody-knot
Makoto Ozawa
We show that any two bridge positions of a handlebody-knot are stably equivalent.
Multibranched surfaces in 3-manifolds
Makoto Ozawa
This is a latest survey article on embeddings of multibranched surfaces into 3-manifolds.
The maximum and minimum genus of a multibranched surface
Mario Eudave-Munoz, Makoto Ozawa
In this paper, we give a lower bound for the maximum and minimum genus of a multibranched surface by the first Betti number and the minimum and maximum genus of the boundary of the…
A partial order on multibranched surfaces in 3-manifolds
Makoto Ozawa
In this paper, we introduce a partial order on neighborhood equivalence classes of maximally spread essential multibranched surfaces embedded in a 3-manifold. We show that if a max…
Neighborhood equivalence for multibranched surfaces in 3-manifolds
Kai Ishihara, Yuya Koda, Makoto Ozawa +1
A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched…