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arXiv:0909.2421 [math.GT]AbstractReferencesReviewsResources

Connected components of representation spaces of non-orientable surfaces

Frederic Palesi

Published 2009-09-13Version 1

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.

Comments: 18 pages, 1 figure
Categories: math.GT
Subjects: 57M05, 57R20
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