3 citations · 4 across the 9 of their papers we have counts for
9 papers
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.
Minimal generating sets and the abelianization for the quasitoric braid group
Genki Omori
A toric braid is a braid whose closure is a torus link in . Manturov generalized toric braids that is called quasitoric braids and showed that the subset of quasitori…
A positive factorization for the balanced superelliptic rotation
Genki Omori
The balanced superelliptic rotation is a periodic map on an oriented closed surface of order . We give a positive factorization for the balanced superelliptic rotation.
A finite presentation for the balanced superelliptic handlebody group
Genki Omori, Yuya Yoshida
The balanced superelliptic handlebody group is the normalizer of the transformation group of the balanced superelliptic covering space in the handlebody group of the total space. W…
A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
Genki Omori
We give a small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists. The difference between the number of the generators and…
An infinite presentation for the mapping class group of a non-orientable surface with boundary
Ryoma Kobayashi, Genki Omori
We give an infinite presentation for the mapping class group of a non-orientable surface with boundary components. The presentation is a generalization of the presentation given by…