3 problems

Let a plumbed 3-manifold be represented by an arbitrary, possibly non-reduced, plumbing, and let the associated $(q,t)$-series be specialized by taking $t\rightarrow 1$ to obtain a…

Gukov's conjecture. The function $\widehat{Z}_{\boldsymbol{a}}(q)$ is a depth $r$ quantum modular form whose quantum set is a subset of $\mathbb Q$. Moreover, for any unimodular pl…

Derived-groups conjecture. The groups $A'$ and $A”$ are isomorphic, up to a grading shift, to the groups $B'$ and $B”$, respectively.