3 problems

Energy-boundedness conjecture. Every unitary simple vertex operator algebra is energy-bounded.

Let $V$ be a simple unitary VOA, and let $Y(a,z)$ be a primary vertex operator with $a\in V\setminus V_1$. Optimal energy bounds conjecture. Every such operator $Y(a,z)$ satisfies…

Let $(X,\omega)$ be a compact symplectic manifold and let $g\in\mathbb Z$. For fixed classes $H_1,\ldots,H_k\in H^*(X)$, let…