1 citations · 3 across the 7 of their papers we have counts for
10 papers
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…
Numerical irreducibility criteria for handlebody links
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
In this paper we define a set of numerical criteria for a handlebody link to be irreducible. It provides an effective, easy-to-implement method to determine the irreducibility of h…
A complete invariant for closed surfaces in the three-sphere
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
Associated to an embedded surface in the -sphere, we construct a diagram of fundamental groups, and prove that it is a complete invariant, wherefrom we deduce complete invariant…