17 citations · 36 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
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.