For handlebody-knots with type 4-1 annuli, the symmetry group is Z2 or Z2 x Z2, and the exterior determines the handlebody-knot up to isotopy via annulus slopes.
Cho: Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two, Proc
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On symmetry and exterior problems of knotted handlebodies
For handlebody-knots with type 4-1 annuli, the symmetry group is Z2 or Z2 x Z2, and the exterior determines the handlebody-knot up to isotopy via annulus slopes.