On the parity conjecture for Hilbert schemes of points on threefolds

Ritvik Ramkumar, Alessio Sammartano

Let $Hil{b}^d(A^3)$ be the Hilbert scheme of $d$ points in $A^3$, and let $T_z$ denote the tangent space to a point $z\in Hil{b}^d(A^3)$. Okounkov and Pandharipande have conjectured t…