Representation Variety of Surface Groups
classification
🧮 math.RT
keywords
groupsurfacevarietyalgebraicdimensionexactformulagenus
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We give an exact formula for the dimension of the variety of homomorphisms from $S_g$ to $\mathit{any}$ semisimple real algebraic group, where $S_g$ is a surface group of genus $g \geq 2$.
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