Poincaré polynomials of moduli spaces of one-dimensional sheaves on the projective plane

Shuai Guo, Longting Wu, with an appendix by Miguel Moreira

Let $M_{\hat{I}}^2$ denote the moduli space of stable one-dimensional sheaves on a del Pezzo surface $S$, supported on curves of class ${\hat{I}}^2$ with Euler characteristic one. We show that the d…