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Representation varieties of the fundamental groups of compact orientable surfaces

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Abstract

We show that the representation variety for the surface group in characteristic zero is (absolutely) irreducible and rational over ℚ.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of Belarus, ul. Surganova, 11, 220072, Minsk, Belarus

    A. S. Rapinchuk, V. V. Benyash-Krivetz & V. I. Chernousov

Authors
  1. A. S. Rapinchuk
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  2. V. V. Benyash-Krivetz
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  3. V. I. Chernousov
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Corresponding author

Correspondence to A. S. Rapinchuk.

Additional information

This work was supported in part by the International Science Foundation (Grant No. MWQ000).

Visiting the University of Michigan (Ann Arbor, MI 48109, USA) in 1992–94.

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Rapinchuk, A.S., Benyash-Krivetz, V.V. & Chernousov, V.I. Representation varieties of the fundamental groups of compact orientable surfaces. Israel J. Math. 93, 29–71 (1996). https://doi.org/10.1007/BF02761093

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