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arXiv · 1305.2620

On weakly maximal representations of surface groups

Gabi Ben Simon·Marc Burger·Tobias Hartnick·Alessandra Iozzi·Anna Wienhard
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Abstract

We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called {\em weakly maximal} representations. We prove that weakly maximal representations are discrete and injective and we describe the structure of the Zariski closure of their image. Furthermore we prove that the set of weakly maximal representations is a closed subset of the representation variety and describe its relation to other geometrically significant subsets of the representation variety.

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Gabi Ben Simon, Marc Burger, Tobias Hartnick, Alessandra Iozzi, Anna Wienhard. 2013-05-12. On weakly maximal representations of surface groups. https://arxiv.org/abs/1305.2620

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