2 papers
math.GT2023
The equivariant genera of marked strongly invertible knots associated with -bridge knots
Mikami Hirasawa, Ryota Hiura, Makoto Sakuma
A marked strongly invertible knot is a triple of a knot in , a strong inversion of , and a subarc bounded by $\o…
math.GT2022
Invariant Seifert surfaces for strongly invertible knots
Mikami Hirasawa, Ryota Hiura, Makoto Sakuma
We study invariant Seifert surfaces for strongly invertible knots, and prove that the gap between the equivariant genus (the minimum of the genera of invariant Seifert surfaces) of…