Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces

Qiongling Li, Takuro Mochizuki

Let $X$ be an arbitrary non-compact hyperbolic Riemann surface, that is, not $\mathbb{C}$ or ${\mathbb{C}}^{\ast }$. Given a tuple of holomorphic differentials $\boldsymbol q=(q_2,\cdots,q_n…