On boundary maps of Anosov representations of a surface group to SL(3,R)

Sungwoon Kim; Thilo Kuessner

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arXiv · 1610.04016

On boundary maps of Anosov representations of a surface group to SL(3,R)

Sungwoon Kim·Thilo Kuessner

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Abstract

We prove that Anosov representations from a surface group to SL(3,R) are uniquely determined by their boundary maps if and only if they do not factor over a completely reducible representation. Furthermore we discuss representations not distinguished by their boundary maps, and we give a lower bound for the number of mapping class orbits of components of the space of Anosov representations.

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BibTeX RIS

Sungwoon Kim, Thilo Kuessner. 2016-10-13. On boundary maps of Anosov representations of a surface group to SL(3,R). https://arxiv.org/abs/1610.04016

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