4 problems

Let ${\cal M}^{\cal H}_{(2g-2)}$ and ${\cal M}^{\cal H}_{(g-1,g-1)}$ denote the hyperelliptic components of the corresponding moduli spaces of holomorphic differentials, and let…

Let ${\cal M}_{\bf d}$ be a moduli space of holomorphic 1-forms with prescribed zero orders, and let ${\cal M}$ be one of its connected components. A group is commensurable with an…

Let $a$ be fixed, and suppose that $r$ is even and $a$ is odd. Let $W_g^\pm(a,r)$ denote the refinement of Witten's class according to spin parity, and let…

Let $\Sigma$ be a surface, and let $\mathcal{A}(\lambda)$ be a family of $\operatorname{PSL}_n(\mathbb{C})$-connections satisfying … with…