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

Abstract

We define Fenchel-Nielsen coordinates for representations of surface groups to $\mathrm{SL}(3,\mathbb{C})$. 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.

32 pages, 0 figures