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- W3210167470 abstract "By Thurston's hyperbolization theorem, irreducible handlebody-knots are classified into three classes: hyperbolic, toroidal, and atoroidal cylindrical. It is known that a non-trivial handlebody-knot of genus two has a finite symmetry group if and only if it is atoroidal. The paper investigates the topology of cylindrical handlebody-knots of genus two that admit an unknotting annulus; we show that the symmetry group is trivial if the unknotting annulus is unique and of type 2." @default.
- W3210167470 created "2021-11-08" @default.
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- W3210167470 date "2022-01-01" @default.
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- W3210167470 title "Unknotting annuli and handlebody-knot symmetry" @default.
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- W3210167470 doi "https://doi.org/10.1016/j.topol.2021.107884" @default.
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