6 problems

Links-Quivers Correspondence for rational knots. For $K_{u/v}$, one has

Let $m>n>1$ be odd integers, not necessarily coprime, and consider the vectors of the form … within the matrix-generated set discussed in the source, where the sign may be chosen a…

A rational knot is a knot represented by a rational diagram, equivalently by an iterated fraction. An even-integer expression is an iterated-fraction expression in which all intege…

A rational knot is represented by an integer sequence presentation, and a Jones rational coincidence is a pair of rational knots with the same Jones polynomial. The pivoting-pairs…

Power conjecture. There exists a corrected $Q$-grading such that

The authors consider polynomial parametrizations of rational knots by Chebyshev polynomials, including representations of the form $x=T_a(t)$, $y=T_b(t)$, $z=C(t)$, where $C$ is ch…