3 problems

Mirror-symmetry conjecture. When $n>0$, there is a bijection between the simple modules $\{L_a\}$ of $V_{g,n}$ and the fixed manifolds $\mathcal{M}_{g,n}^T=\{M_a\}$ such that, for…

Let $V_{g,n}$ be the vertex operator algebra associated with the genus-$g$ theory with $n$ regular punctures, and let $\{L_a\}$ be its simple modules. Let ${\cal M}_{g,n}$ be the m…

Let $V_{g,0}$ be the vertex operator algebra associated with the unpunctured genus-$g$ theory, with simple modules $\{L_a\}$ and conformal dimensions $h(L_a)$. Let ${\cal M}_{g,0}$…