The Moduli of Flat PU(p,p)-Structures with Large Toledo Invariants

Eyal Markman, Eugene Z. Xia

For a compact Riemann surface $X$ of genus $g>1$, $\Hom(π_1(X), PU(p,q))/PU(p,q)$ is the moduli space of flat $PU(p,q)$-connections on $X$. There are two invariants, the Chern cl…