Topological invariants of Anosov representations

@article{Guichard2009TopologicalIO,
title={Topological invariants of Anosov representations},
author={Olivier Y Guichard and Anna Wienhard},
journal={Journal of Topology},
year={2009},
volume={3}
}
• Published 2 July 2009
• Mathematics
• Journal of Topology
We define new topological invariants for Anosov representations and study them in detail for maximal representations of the fundamental group of a closed oriented surface Σ into the symplectic group Sp (2n, R). In particular we show that the invariants distinguish connected components of the space of symplectic maximal representations other than Hitchin components. Since the invariants behave naturally with respect to the action of the mapping class group of Σ, we obtain from this the number of…
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