Cross Ratios and Identities for Higher Thurston Theory
Differential Geometry
2019-12-19 v2
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.
Cite
@article{arxiv.math/0611245,
title = {Cross Ratios and Identities for Higher Thurston Theory},
author = {F. Labourie and G. McShane},
journal= {arXiv preprint arXiv:math/0611245},
year = {2019}
}
Comments
64 pages, 5 figures The new version corrects many typos, sign errors and imprecisions. The writing has been hopefully improved. The mathematical content is identical