The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces

Francis Bonahon; Inkang Kim

doi:10.1007/s10711-017-0233-1

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arXiv · 1607.03650

The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces

Francis Bonahon·Inkang Kim

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Abstract

Let P(S) be the space of convex projective structures on a surface S with negative Euler characteristic. Goldman and Bonahon-Dreyer constructed two different sets of global coordinates for P(S), both associated to a pair of pants decomposition of the surface S. The article explicitly describes the coordinate change between these two parametrizations. Most of the arguments are concentrated in the case where S is a pair of pants, in which case the Bonahon-Dreyer coordinates are actually due to Fock-Goncharov.

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BibTeX RIS

Francis Bonahon, Inkang Kim. 2016-07-13. The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces. https://doi.org/10.1007/s10711-017-0233-1

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