6 problems

Let $\omega_{g,n}$ be the multidifferentials produced by topological recursion from a spectral curve with functions $x$ and $y$, and let $F_g$ denote the corresponding free energy.…

Variational extension conjecture. Theorem $$ holds for any $\Sigma$.

Let $q$ be the elliptic nome and let $a_1,a_2,a_3$ be the anisotropy parameters of the ferromagnetic anisotropic triangular Ising model. For indices understood cyclically, define t…

Let $p$ be the expansion variable defined by the relation between the low-temperature variable $z$ and $p$, and let $\rho_i$ denote the corner-normalization freedom satisfying…

Disk free-energy conjecture. The free energy $F_{\rm disk}$ on a disk can be a solution of this hierarchy.

Let $\mathcal{K}$ be a non-torus knot with an augmentation curve, and let $\widehat{B}_\mathcal{K}(p_1,p_2)$ denote the annulus kernel associated with that curve. The source does n…