Refined Verlinde and Segre formula for Hilbert schemes

Lothar Göttsche, Anton Mellit

Let ${\mathrm{Hilb}}_{n}S$ be the Hilbert scheme of $n$ points on a smooth projective surface $S$. To a class $\alpha \in K^0(S)$ correspond a tautological vector bundle ${\alpha }^{[n]}$ on $\mathr…