Resumen de Quantum cohomology of $\text{\normalfont H\lowercase{ilb}}^2(\mathbb{P}^1 \times\mathbb{P}^1)$ and enumerative applications

Dalide Pontoni

• We compute the small quantum cohomology of Hilb and determine recursively most of the big quantum cohomology. We prove a relationship between the invariants so obtained and the enumerative geometry of hyperelliptic curves in . This extends the results obtained by Graber (2001) for Hilb and hyperelliptic curves in .