INTRODUCTION TO POSITIVE REPRESENTATIONS AND FOCK-GONCHAROV COORDINATES
Résumé
In this notes, we will try to give a simple description of the set of positive representations of the fundamental group of a surface with non-empty boundary to the group PSL m (R), as defined by Fock and Goncharov [1]. The construction uses a special set of coordinates on the space of all representations in PGL m (C) now called the Fock-Goncharov coordinates. For each step of the construction, we will consider the classical cases m = 2 and m = 3 before turning to the general case. We will also give the main property of these representations, namely their faithfulness and discreteness.
Domaines
Topologie géométrique [math.GT]
Origine : Fichiers produits par l'(les) auteur(s)
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