On the $E$-polynomial of parabolic ${\mathrm{Sp}}_{2n}$-character varieties

Vincenzo Cambò

We find the $E$-polynomials of a family of parabolic ${\mathrm{Sp}}_{2n}$-character varieties ${\mathcal{M}}_n^{\xi }$ of Riemann surfaces by constructing a stratification, proving that e…