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Irreducible connection on a surface

Let $\Sigma$ is a compact oriented surface (without boundary), of genus $\ge 1$. Let $\rho: \pi=\pi_1(\Sigma)\to G$ be a representation to a semisimple Lie group $G$. (Actually, all what one needs is ...
Moishe Kohan's user avatar
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Fiber bundle map is proper if the model fiber is compact

Instead of using definition of proper map, we can use Proposition A.53(b) in Lee's smooth manifolds book to show that $\pi$ is a closed map. (Proposition A.53(b) says that a closed map with compact ...
Yan Zhu's user avatar
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