We show how to calculate the Euler characteristic of a local system associated to an irreducible representation of the symplectic group of genus 3 on the moduli space of curves of genus 3 and the moduli space of principally polarized abelian varieties of dimension 3.
On the perverse filtration of the moduli spaces of 1-dimensional sheaves on $\mathbb{P}^2$ and P=C conjecture
A formula for the Euler characteristic of $\bar{\cal M}_{2,n}$
On the moduli space of semi-stable plane sheaves with Euler characteristic one and supported on sextic curves
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