5 problems

Let $g\geq 2$, let $\ell$ be a positive integer, and let $\mu=(m_1,\ldots,m_k)$ be a partition of $\ell(2g-2)$ with $m_i\neq-\ell$ for every $i$. Let $\mathcal{P}^\ell(\mu)$ be the…

Let $g$ be the genus, let $\ell$ be a positive integer, and let $\mu=(m_1,\ldots,m_k)$ be a partition of $\ell(2g-2)$ specifying a stratum of $\ell$-differentials. Let…

Let $g,n\geq 0$ and let $k$ be a positive odd integer. Let $\mu=(m_1,\ldots,m_n)\in\mathbb{Z}^n\setminus k\mathbb{Z}^n_{\geq 0}$ satisfy … with all entries of $\mu$ even. Let…

Let $g,n\geq 0$, let $k>0$, and let $\mu=(m_1,\ldots,m_n)$ be a signature for $k$-differentials. Denote by $[\widetilde{H}_g(\mu)]$ the weighted fundamental class of the moduli spa…

Let ${\mathcal M}_g^\mu$ be a connected component of the stratum of Abelian differentials with degeneracy type $\mu$, let $\beta$ be the closed real codimension-$2$ form describing…