Abstract
We generalise the McShane-Mirzakhani identities from hyperbolic geometry to arbitrary cross ratios. We define and study Hitchin representations of open surface groups to . We associate cross ratios to these representations and then give explicit expressions for our generalised identities in terms of (a suitable choice of) Fock-Goncharov coordinates
Citation
François Labourie. Gregory McShane. "Cross ratios and identities for higher Teichmüller-Thurston theory." Duke Math. J. 149 (2) 279 - 345, 15 August 2009. https://doi.org/10.1215/00127094-2009-040
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