Most Hitchin representations are strongly dense

D. D. Long; A. W. Reid; M. Wolff

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arXiv · 2202.09306

Most Hitchin representations are strongly dense

D. D. Long·A. W. Reid·M. Wolff

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Abstract

We prove that generic Hitchin representations are strongly dense: every pair of non commuting elements in their image generate a Zariski-dense subgroup of SL_n(R). The proof uses a theorem of Rapinchuk, Benyash-Krivetz and Chernousov, to show that the set of Hitchin representations is Zariski-dense in the variety of representations of a surface group in SL_n(R).

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D. D. Long, A. W. Reid, M. Wolff. 2022-02-18. Most Hitchin representations are strongly dense. https://arxiv.org/abs/2202.09306

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