Generators for the cohomology ring of the moduli of one-dimensional sheaves on ${\mathbb{P}}^2$

Abstract

We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on ${\mathbb{P}}^2$ of any degree. We obtain a minimal set of tautological generators, which implies an optimal generation result for both the cohomology and the Chow ring of the moduli space. Our approach is through a geometric study of tautological relations.

arXiv comment19 pages, final version to appear at Algebraic Geometry