This article is cited in 4 papers

Twisted character varieties, covering spaces, and gerbes

S. Wu

Department of Mathematics, National Tsing Hua University, Taiwan

Abstract: For a finite-index subgroup $\widetilde\Pi$ of a finitely generated group $\Pi$, we establish various relations between (twisted) character varieties of $\Pi$ and $\widetilde\Pi$. We interpret our results geometrically in terms of the moduli space of flat connections on principal bundles twisted by a flat bundle gerbe over a manifold with the fundamental group $\Pi$.

Keywords: moduli space, character variety, gerbe, twisted bundle.

DOI: 10.4213/tmf8952

 English version: Theoretical and Mathematical Physics, 2015, 185:3, 1769–1788

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