Cohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles

Luca Scala

Let $X$ a smooth quasi-projective algebraic surface, $L$ a line bundle on $X$. Let $X^{[n]}$ the Hilbert scheme of $n$ points on $X$ and $L^{[n]}$ the tautological bundle on $X^{[n…