Geodesic
Twisted character varieties, covering spaces, and gerbes
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 471-494

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\Pi$.
Mots-clés : moduli space, gerbe
Keywords: character variety, twisted bundle. 
@article{TMF_2015_185_3_a5,
     author = {S. Wu},
     title = {Twisted character varieties, covering spaces, and gerbes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {471--494},
     publisher = {mathdoc},
     volume = {185},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a5/}
}
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S. Wu. Twisted character varieties, covering spaces, and gerbes. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 471-494. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a5/