4 problems

Cable stabilization conjecture. For a given normalized Alexander degree $\widetilde{\mathbf{s}}$, the dimension of…

Let $L_m$ be the $m$-fold cable link of a link $L$, and let $\overline{\mathbf{s}}$ be a normalized Alexander degree. The maps … are the connecting maps in the directed system defi…

Let $K_r=C_{(r,2)}(\bm{4_1})\subseteq S^3$ be the family of cable knots from the preceding conjecture, with $r>8$ odd and monic Alexander polynomial. Let $\{f_m(q)\}$ be the coeffi…

Let $\bm{4_1}$ denote the figure-eight knot, and consider the cable knots … where $r>8$ is odd and the Alexander polynomial is monic. Write the invariant as … Let $\{f_m(q)\}$ be p…