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math.DG2024
A Hilbert metric for bounded symmetric domains
Elisha Falbel, Antonin Guilloux, Pierre Will
Bounded symmetric domains carry several natural invariant metrics, for example the Carathéodory, Kobayashi or the Bergman metric. We define another natural metric, from generalized…
math.DG2007
A la Fock-Goncharov coordinates for PU(2,1)
Julien Marche, Pierre Will
We describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface with negative Euler characteristic. The main te…