13 citations · 16 across the 8 of their papers we have counts for
8 papers
Computations of parabolic character schemes of knots
Yunhi Cho, Hyuk Kim, Seonhwa Kim +1
We compute parabolic -character schemes of knots using the parabolic quandle. To this end, we introduce sign-refined arc-colorings and show that their si…
Parabolic representations and generalized Riley polynomials
Yunhi Cho, Hyuk Kim, Seonhwa Kim +1
We generalize R. Riley's study about parabolic representations of two bridge knot groups to the general knots in . We utilize the parabolic quandle method for general knot dia…
Continuant, Chebyshev polynomials, and Riley polynomials
Kyeonghee Jo, Hyuk Kim
In the previous paper, we showed that the Riley polynomial of each 2-bridge knot is split into , for some integral coeffic…
Symplectic quandles and parabolic representations of 2-bridge Knots and Links
Kyeonghee Jo, Hyuk Kim
In this paper we study the parabolic representations of 2-bridge links by finiding arc coloring vectors on the Conway diagram. The method we use is to convert the system of conjuga…
Octahedral developing of knot complement I: pseudo-hyperbolic structure
Hyuk Kim, Seonhwa Kim, Seokbeom Yoon
It is known that a knot complement can be decomposed into ideal octahedra along a knot diagram. A solution to the gluing equations applied to this decomposition gives a pseudo-deve…
Volume of -boundary domain in extended hyperbolic space
Yunhi Cho, Hyuk Kim
We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space. We can measure the volume of…