3 problems

The (a,t)-deformed $F_K$ conjecture. There should exist a four-variable function satisfying

Let $K$ be a knot, let $a$ and $q$ be parameters, and let $\hat{A}_K(\hat{x},\hat{y},a,q)$ be the $a$-deformed quantum $A$-polynomial. HOMFLY-PT analogue conjecture. There exists a…

Let $G$ be a root system of rank $r$, with Weyl group $W$, positive roots $\Delta^+$, weight lattice $P$, root lattice $Q$, Weyl vector $\rho$, and dominant weights $P_+$. Let…