Cohomological $\chi$-dependence of ring structure for the moduli of one-dimensional sheaves on ${\mathbb{P}}^2$

Woonam Lim, Miguel Moreira, Weite Pi

We prove that the cohomology rings of the moduli space $M_{d,\chi }$ of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler ch…