Abstract
Given a Hitchin representation , we construct continuous functions defined on the space of Hölder geodesic currents such that, for a closed, oriented curve in , the eigenvalue of the matrix is of the form : such functions generalize to higher rank Thurston’s length function of Fuchsian representations. Identities and differentiability properties of these lengths , as well as applications to eigenvalue estimates, are also considered.
Citation
Guillaume Dreyer. "Length functions of Hitchin representations." Algebr. Geom. Topol. 13 (6) 3153 - 3173, 2013. https://doi.org/10.2140/agt.2013.13.3153
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