2 papers
math.GT2026
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…
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 in a -sphere , the symme…