3 problems

Let $L$ be a multi-component link. Let $J(L)$ denote its Jones polynomial, and let … be the multiset of pairwise linking numbers. Write $(J,\operatorname{LK})$ for the combined lin…

Let $A,B\in\operatorname{PSL}_2(\mathbb{Z})$ be primitive hyperbolic elements, and let $[\alpha_q]$ and $[\beta_q]$ be the associated modular geodesics for the Fuchsian representat…

Let $X$ be the source of a $\hat v$-generic immersion $\alpha:X\to A$, let $K_\alpha:\mathcal T(v)\to\mathcal F_{\leq 2}$ be the associated map, and let $\kappa^\ast$ be a generato…