9 citations · 11 across the 7 of their papers we have counts for
7 papers
On Isotopies and hyperbolicity of weaves
Ken'ichi Yoshida
A weave is a type of textile that consists of vertical and horizontal threads, and typically it has a periodic structure. In this paper, we regard a weave as a link in the thickene…
Holed cone structures on 3-manifolds
Ken'ichi Yoshida
We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We…
Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles
Ken'ichi Yoshida
For 3-dimensional hyperbolic cone structures with cone angles , local rigidity is known for , but global rigidity is known only for . The proof…
Quotient topology on the set of commensurability classes of hyperbolic 3-manifolds
Ken'ichi Yoshida
We investigate relation between Dehn fillings and commensurability of hyperbolic 3-manifolds. The set consisting of the commensurability classes of hyperbolic 3-manifolds admits th…
Unions of 3-punctured spheres in hyperbolic 3-manifolds
Ken'ichi Yoshida
We classify the topological types for the unions of the totally geodesic 3-punctured spheres in orientable hyperbolic 3-manifolds. General types of the unions appear in various hyp…
Stable presentation length of 3-manifold groups
Ken'ichi Yoshida
We introduce the stable presentation length of a finitely presented group. The stable presentation length of the fundamental group of a 3-manifold can be considered as an analogue…
The minimal volume orientable hyperbolic 3-manifold with 4 cusps
Ken'ichi Yoshida
We prove that the 8^4_2 link complement is the minimal volume orientable hyperbolic manifold with 4 cusps. Its volume is twice of the volume V_8 of the ideal regular octahedron, i.…