On Generators and Relations of the Rational Cohomology of Hilbert Schemes

Andrea Bianchi, Alexander Mangulad Christgau, Jonathan Sejr Pedersen

We consider for $d\ge 1$ the graded commutative $\mathbb{Q}$-algebra $\mathcal{A}(d):=H^{\ast }({\mathrm{Hilb}}^d({\mathbb{C}}^2);\mathbb{Q})$, which is also connected to the study of…