Fenchel-Nielsen coordinates for SL(3,C) representations

Rodrigo Dávila Figueroa, John R Parker

Published 2023-01-10Version 1

We define Fenchel-Nielsen coordinates for representations of surface groups to ${\rm SL}(3,{\mathbb C})$. We also show how these coordinates relate to the classical Fenchel-Nielsen coordinates and to their generalisations by Kourouniotis, Tan, Goldman, Zhang and Parker-Platis.