4 problems

Let $M\cong N/\pi_1(M)$ be a geometric integer homology sphere with model geometry $N$, and let $W_M(\xi)$ be its properly normalized Witten–Reshetikhin–Turaev invariant for a prim…

Let \gamma=\begin{pmatrix}a&b\c&d\end{pmatrix}\in\operatorname{SL}_2(\mathbb Z) with $c\neq0$, and let $W_\gamma$ be defined on $\mathbb Q\smallsetminus\{\gamma^{-1}(\infty)\}$.…

Let $r+1$ be the size of the matrix $\mathbf J$, and let $\mathrm{DJ}^{(m)}(q)$ denote the descendant invariant. The matrix $\mathbf J$ is the matrix of the conjectured knot invari…

The t-deformed ADO limit conjecture. The preceding expression should be a polynomial and, at $t=-1$, should equal the usual $p$-th ADO polynomial of $K$ for $SU(2)$. More generally…