Myeongjae Lee

Cohomology ring of the strata of holomorphic differentials of genus 3

We prove that the rational Chow ring of every connected component of the multi-scale compactifications of the genus three strata $\mathcal{H}(4), \mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$ is generated by boundary-stratum classes. Our proof shows Chow-K\"unneth generation property of boundary strata of the multi-scale co...