1 citations · 3 across the 9 of their papers we have counts for
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Hopf handlebody-links: their symmetry and classification
Yi-Sheng Wang
We generalize the notion of the Hopf link to the context of spatial graphs and handlebody-links, and study their symmetry and classification problems.
On unique decomposition of knotted handlebodies
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
The paper considers the uniqueness question of factorization of a knotted handlebody in the -sphere along decomposing -spheres. We obtain a uniqueness result for factorizatio…
Resolution of singular fibers of an -manifold
Yi-Sheng Wang
In this paper, we present a construction of resolution of discrete singular fibers of a closed -manifold that admits a locally free -action, and prove its compatibility wit…
Rigidity and symmetry of cylindrical handlebody-knots
Yi-Sheng Wang
A recent result of Funayoshi-Koda shows that a handlebody-knot of genus two has a finite symmetry group if and only if it is hyperbolic -- the exterior admits a hyperbolic structur…
Unknotting annuli and handlebody-knot symmetry
Yi-Sheng Wang
By Thurston's hyperbolization theorem, irreducible handlebody-knots are classified into three classes: hyperbolic, toroidal, and atoroidal cylindrical. It is known that a non-trivi…
A table of -component handlebody links of genus up to six crossings
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1
A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalizes the notion of links in classical knot theory. In this paper, we consider handl…