Representation variety of surface groups

Kishore, Krishna

doi:10.1090/proc/13852

Representation variety of surface groups
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by Krishna Kishore PDF

Proc. Amer. Math. Soc. 146 (2018), 953-959 Request permission

Abstract:

We give an exact formula for the dimension of the variety of homomorphisms from $S_g$ to any semisimple real algebraic group, where $S_g$ is a surface group of genus $g \geq 2$.

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