3 problems

The conjectural mixed Hodge polynomial formula. (i) The rational function $\mathbb{H}_{\bs\mu}(z,w)$ is a polynomial of degree $d$ in each variable, every monomial has even degree,…

Let $\Omega(z,w)$ be the function associated with a genus $g$ Riemann surface with $k$ punctures, and let $\boldsymbol\mu=(\mu^1,\ldots,\mu^k)\in\mathcal P^k$. Define … where…

Let $\mathcal{M}_{\rm B}^{{\bm\mu},{\bf r}}$ be a generic wild character variety of type $({\bm\mu},{\bf r})$ with genus $g=0$. Let $\mathbb H_{\widetilde{{\bm\mu}},r}(z,w)$ be the…