Makoto Ozawa

activity

20242026

collaborators

4 papers

math.GT2026

A Dehornoy-Type Ordering on Bridge Positions of Links

Makoto Ozawa

By a theorem of Hovland, bridge isotopy classes of $n$ -bridge positions of links in $S^{3}$ correspond bijectively to Hilden double cosets $P_{2 n} = H_{2 n} \ B_{2 n} / H_{2 n}$ . We…

math.GT2026

3-decompositions of genus two handlebody-knots

Makoto Ozawa, Yi-Sheng Wang

We investigate the class of $3$ -decomposable genus two handlebody-knots and provide a complete classification of essential annuli in their exteriors. We introduce the notion of $τ$ …

math.GT2025

On symmetry and exterior problems of knotted handlebodies

Yuya Koda, Makoto Ozawa, Yi-Sheng Wang

The paper concerns two classical problems in knot theory pertaining to knot symmetry and knot exteriors. In the context of a knotted handlebody $V$ in a $3$ -sphere $S^{3}$ , the symme…

math.GT2024

Essential annuli in genus two handlebody exteriors

Yuya Koda, Makoto Ozawa, Yi-Sheng Wang

We classify all potential configurations of essential annuli in a genus two atoroidal handlebody exterior in the $3$ -sphere, building on two recent classifications: the classificat…