3 problems

Thomas's virtual localisation conjecture. The invariants should furthermore satisfy $\mathsf{VW}_\alpha=\mathsf{vw}_\alpha$ whenever $\deg K_S\leq0$. The preceding formulas conject…

Let $S$ be a K3 surface, let $\Gamma_0$ be the lattice of Mukai classes used for the sheaf-counting invariants, and let $(v,v)$ denote the Mukai pairing. For $k\mid v$, assume…

Let $S$ be a K3 surface, let $\widetilde{H}(S,\mathbb{Z})=\mathbb{Z}\oplus H^2(S,\mathbb{Z})\oplus\mathbb{Z}$ be its Mukai lattice, and let $v$ be an algebraic class in this lattic…