3 citations · 3 across the 4 of their papers we have counts for
4 papers
Characterization of non-self OU sequences of two-component link diagrams
Naoki Sakata, Ayaka Shimizu, Koya Shimokawa
A non-self OU sequence is a cyclic sequence of crossing information of non-self crossings that is obtained by traversing a knot component of an oriented link diagram. In this paper…
The OU number and Reidemeister moves of type III for link diagrams
Naoki Sakata, Ayaka Shimizu, Koya Shimokawa
We introduce the non-self OU sequence and the OU number for link diagrams. Using these, we give a lower bound for the number of necessary Reidemeister moves of type III between two…
Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5
Genki Omori, Naoki Sakata
We give Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5.
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…