2 papers
math.GT2026
Knots with large character varieties
Philip Choi, Joan Porti, Seokbeom Yoon
We study knots whose -character varieties have a component of dimension greater than one. We call such knots -large and introduce two diagra…
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…