Where $T_g$ is a closed orientable surface of genus g. I want a proof using covering space theory. I know a proof that uses the notion of hyperbolic groups and Riemanian geometry using uniformization theorem. But I want to know is it possible to prove it just using covering space theory?
2026-03-28 10:29:15.1774693755
How to prove that the center of the fundamental group of $T_g$ is trivial for $g \geq 2$?
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