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Twisted character varieties, covering spaces, and gerbes

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Abstract

For a finite-index subgroup \(\tilde \prod \) of a finitely generated group ∏, we establish various relations between (twisted) character varieties of ∏ and \(\tilde \prod \). 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 ∏.

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Authors and Affiliations

  1. Department of Mathematics, National Tsing Hua University, Taiwan, China

    Siye Wu

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  1. Siye Wu
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Correspondence to Siye Wu.

Additional information

Part of this work was done while the author was in Hong Kong supported by the UGC (Grant No. HKU705612P).

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 185, No. 3, pp. 471–494, December, 2015.

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Wu, S. Twisted character varieties, covering spaces, and gerbes. Theor Math Phys 185, 1769–1788 (2015). https://doi.org/10.1007/s11232-015-0378-8

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