3 papers
math.GT2023
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.
math.GT2023
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…
math.GT2023
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.