A la Fock-Goncharov coordinates for PU(2,1)
نویسندگان
چکیده
In this work, we describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface Σ with negative Euler characteristic. The main technical tool we use is a set of geometric invariants of a triple of flags in the complex hyperpolic plane H C . We establish a bijection between a set of decorations of an ideal triangulation of Σ and a subset of the PU(2,1)-representation variety of π1(Σ).
منابع مشابه
A la Fock - Goncharov coordinates for PU ( 2 , 1 ) Julien Marché
In this work, we describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface Σ with negative Euler characteristic. The main technical tool we use is a set of geometric invariants of a triple of flags in the complex hyperpolic plane H C . We establish a bijection between a set of decorations of an ideal triangulation of Σ and a su...
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