4 papers
A Dehornoy-Type Ordering on Plat Presentation Classes
Makoto Ozawa
For each integer , after fixing a proper complexity function on the braid group $\B_{2n}$, we use the Dehornoy order to define a strict total order on the set \[ \mathcal P…
3-decompositions of genus two handlebody-knots
Makoto Ozawa, Yi-Sheng Wang
We investigate the class of -decomposable genus two handlebody-knots and provide a complete classification of essential annuli in their exteriors. We introduce the notion of $Ï…
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 in a -sphere , the symme…
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 -sphere, building on two recent classifications: the classificat…