Lectures on Klein surfaces and their fundamental group
Differential Geometry
2015-09-08 v1 Algebraic Geometry
Abstract
The goal of these lectures is to give an introduction to the study of the fundamental group of a Klein surface. We start by reviewing the topological classification of Klein surfaces and by explaining the relation with real algebraic curves. Then we introduce the fundamental group of a Klein surface and present its main basic properties. Finally, we study the variety of unitary representations of this group and relate it to the representation variety of the topological fundamental group of the underlying Riemann surface.
Cite
@article{arxiv.1509.01733,
title = {Lectures on Klein surfaces and their fundamental group},
author = {Florent Schaffhauser},
journal= {arXiv preprint arXiv:1509.01733},
year = {2015}
}
Comments
To appear in the collection Advanced Courses in Mathematics - CRM Barcelona