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Article Dans Une Revue Communications in Analysis and Geometry Année : 2010

Connected components of representation spaces of non-orientable surfaces

Frederic Palesi

Résumé

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.

Dates et versions

hal-00821073 , version 1 (07-05-2013)

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Frederic Palesi. Connected components of representation spaces of non-orientable surfaces. Communications in Analysis and Geometry, 2010, 18 (1), pp.195-217. ⟨hal-00821073⟩

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