1 citations · 5 across the 17 of their papers we have counts for
17 papers
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…
Annulus configuration in handlebody-knot exteriors
Yi-Sheng Wang
In contrast to classical knots, the knot type of a genus two handlebody-knot is not determined by its exterior, and it is often a challenging task to distinguish handlebody-knots w…
JSJ decomposition for handlebody-knots
Yi-Sheng Wang
The paper applies the JSJ decomposition and Koda-Ozawa's annulus classification to analyze the annulus configuration in a handlebody-knot exterior. We introduce the notion of the a…
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…
On closed oriented surfaces in the 3-sphere
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
In this paper we study embeddings of oriented connected closed surfaces in . We define a complete invariant, the fundamental span, for such embeddings, generalizing th…
Geometric realization and its variants
Yi-Sheng Wang
In this paper, we present a unified approach using model category theory and an associative law to compare some classic variants of the geometric realization functor.
Categories of vector spaces and Grassmannians
Yi-Sheng Wang
We construct a new category of vector spaces which contains both the standard category of vector spaces and Grassmannians. Its space of objects classifies vector bundles, its space…
Fat realization and Segal's classifying space
Yi-Sheng Wang
In this paper, we give a new proof of a well-known theorem due to tom Dieck that the fat realization and Segal's classifying space of an internal category in the category of topolo…
An approximation of the -invariant in the stable homotopy category
Yi-Sheng Wang
In their construction of the topological index for flat vector bundles, Atiyah, Patodi and Singer associate to each flat vector bundle a particular --theory class.…
Topological -theory with coefficients and the -invariant
Yi-Sheng Wang
We compare the invariants of flat vector bundles defined by Atiyah et al. and Jones et al. and prove that, up to weak homotopy, they induce the same map, denoted by , from the $…
Simplicial Waldhausen categories and topological -theory
Yi-Sheng Wang
Utilizing simplicial Waldhausen theory, we prove that the geometric realization of the topologized category of bounded chain complexes over complex numbers (resp. real numbers) is…