Connected components of representation spaces of non-orientable surfaces
Geometric Topology
2009-09-15 v1
Abstract
Let M be a compact closed non-orientable surface. We show that the space of representations of the fundamental group of M into PSL(2,R) has exactly two connected components. These two components are the preimages of a certain Stiefel-Whitney characteristic class, computed in a similar way as the Euler class in the orientable case.
Keywords
Cite
@article{arxiv.0909.2421,
title = {Connected components of representation spaces of non-orientable surfaces},
author = {Frederic Palesi},
journal= {arXiv preprint arXiv:0909.2421},
year = {2009}
}
Comments
18 pages, 1 figure