English

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

Geometric Topology 2025-05-29 v2

Abstract

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

Cite

@article{arxiv.2301.03906,
  title  = {Fenchel-Nielsen coordinates for SL(3,C) representations},
  author = {Rodrigo Dávila Figueroa and John R Parker},
  journal= {arXiv preprint arXiv:2301.03906},
  year   = {2025}
}

Comments

32 pages, 0 figures

R2 v1 2026-06-28T08:08:26.058Z