2 papers
math.GT2026
Symplectic quandle Method and -representations of 2-bridge Knots
Kyeonghee Jo, Hyuk Kim
In this paper, we extend the symplectic quandle method, previously employed in our study of parabolic representations of knot groups, to investigate the general -…
math.GR2024
Non-freeness of parabolic two-generator groups
Philip Choi, Kyeonghee Jo, Hyuk Kim +1
A complex number is said to be non-free if the subgroup of $SL(2,\bc)$ generated by $$X=\begin{pmatrix} 1& 1\\ 0 & 1 \end{pmatrix} \,\, \text{and}\,\,\,Y_λ=\begin{pmatrix} 1& 0…