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Cross Ratios and Identities for Higher Thurston Theory

F. Labourie·G. McShane
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Abstract

We generalise in this article the Mc Shane-Mirzakhani identities in hyperbolic geometry to arbitrary cross ratios. We give an expression of them in the case of Hitchin representations of surface groups in PSL(n, R) in a suitable choice of Fock-Goncharov coordinates.

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F. Labourie, G. McShane. 2006-11-09. Cross Ratios and Identities for Higher Thurston Theory. https://doi.org/10.1215/00127094-2009-040

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