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arXiv · 1912.04360

On Character Varieties with Non-Connected Structure Groups

Cheng Shu
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Abstract

We define character varieties with non-connected structure groups of finitely presented discrete groups and study some basic aspects, such as generic conjugacy classes and relation with fixed points in character varieties with connected structure groups. In the process, we give the classification of the isomorphism classes of the semi-direct products $G\rtimes\Gamma$, with fixed $G$ and $\Gamma$.

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Cheng Shu. 2019-12-09. On Character Varieties with Non-Connected Structure Groups. https://doi.org/10.1016/j.jalgebra.2023.04.036

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