Connected components of spaces of representations of non-orientable surfaces
نویسندگان
چکیده
منابع مشابه
Connected Components of Spaces of Representations of Non-orientable Surfaces
LetM 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.
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2010
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2010.v18.n1.a8