Cross Ratios and Identities for Higher Thurston Theory

Details Cross Ratios and Identities for Higher Thurston Theory Cross Ratios and Identities for Higher Thurston Theory

2006-11-09

arxiv.org/abs/math/0611245v2

Mathematics

Differential Geometry

64 pages, 5 figures The new version corrects many typos, sign errors and imprecisions. The writing has been hopefully improved

Scientific paper

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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