Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: The case of noncompact curves

Juergen Jost, Yi-Hu Yang, Kang Zuo

Let $S$ be a Riemann surface obtained by deleting a finite number of points, called cusps, from a compact Riemann surface. Let $\rho :{\pi }_1(S)\to Sl(n,\mathbb{C})$ be a semisimple line…