4 problems

Modular-product q-series conjecture. After setting $y_1=y_2=1$ in the charge-refined identity, the following identity holds:

Charge-refined q-series conjecture. The following identity holds:

Let $P$, $Q$, and $V$ be as in Lem.. The octagon equation of the non-compact quantum dilogarithm. … This identity is presented as the equation corresponding to Fock–Goncharov's…

Let $P$, $Q$, and $V$ be as in Lem.. The hexagon equation of the non-compact quantum dilogarithm. … This identity is presented as the equation corresponding to Fock–Goncharov's…