17 citations · 36 across the 9 of their papers we have counts for
9 papers
Variants of Coxeter quandles associated with Pin groups
Yuichi Kabaya
We study two families of quandles arising from Coxeter quandles. One is the quandle defined by Andruskiewitsch-Graña, which is the set of roots with binary operation defined by usi…
Computing Kazhdan constants by semidefinite programming
Koji Fujiwara, Yuichi Kabaya
Kazhdan constants of discrete groups are hard to compute and the actual constants are known only for several classes of groups. By solving a semidefinite programming problem by a c…
Exotic components in linear slices of quasi-Fuchsian groups
Yuichi Kabaya
The linear slice of quasi-Fuchsian once-punctured torus groups is defined by fixing the complex length of some simple closed curve to be a fixed positive real number. It is known t…
Parametrization of PSL(2,C)-representations of surface groups
Yuichi Kabaya
For an oriented surface of genus g with b boundary components, we construct a rational map from a subset of C^{6g-6+3b} onto an open algebraic subset of the PSL(2,C)-character vari…
Exceptional surgeries on -pretzel knots
Kazuhiro Ichihara, In Dae Jong, Yuichi Kabaya
We give a complete description of exceptional surgeries on pretzel knots of type with . It is known that such a knot admits a unique toroidal surgery yielding…
Cyclic branched coverings of knots and quandle homology
Yuichi Kabaya
We give a construction of quandle cocycles from group cocycles, especially, for any integer p \geq 3, quandle cocycles of the dihedral quandle R_p from group cocycles of the cyclic…
Quandle homology and complex volume
Ayumu Inoue, Yuichi Kabaya
We introduce a new homology theory of quandles, called simplicial quandle homology, which is quite different from quandle homology developed by Carter et al. We construct a homomor…
Finite surgeries on three-tangle pretzel knots
D. Futer, M. Ishikawa, Y. Kabaya +2
We classify Dehn surgeries on (p,q,r) pretzel knots that result in a manifold of finite fundamental group. The only hyperbolic pretzel knots that admit non-trivial finite surgeries…
A method to find ideal points from ideal triangulations
Yuichi Kabaya
We give a simple method to find ideal points of the character variety of a 3-manifold from an ideal triangulation.