4 problems

Let $m,n$ and the levels $k,\ell$ be as in the source, and let $\pi^{k-\ell}$ be the rank-one Heisenberg vertex algebra. Semi-infinite-cohomology conjecture. The relative semi-infi…

Let $N=n+m$, let $f$ be any nilpotent element of $\mathfrak{sl}_N$, and let … Here $s(\lambda)$ is the lattice-label map defined in the source, and $k$ and $\ell$ are related to…

Let $N=n+m$, let $f=f_{n,m}$ be the nilpotent element of $\mathfrak{sl}_N$ corresponding to the partition $N=n+1+\dots+1$, and let $A[\mathfrak{sl}_N,f,\psi]$ be the associated ext…

Let $\mathbb{M}$ be the Monster group, let $g\in\mathbb{M}$ be non-Fricke, and let ${}^g\hat V$ be the module assigned to $g$ in the proposed unified Moonshine construction. Non-Fr…