Online Resource
Zuerich, Switzerland :European Mathematical Society Publishing House,
UID:
almahu_9948175740702882
Format:
1 online resource (145 pages)
ISBN:
9783037196274
Series Statement:
Zurich Lectures in Advanced Mathematics (ZLAM)
Content:
The subject of these notes is the character variety of representations of a surface group in a Lie group. We emphasize the various points of view (combinatorial, differential, algebraic) and are interested in the description of its smooth points, symplectic structure, volume and connected components. We also show how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, we do not insist in the details of the differential geometric constructions and refer to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes could also be used by researchers entering this fast expanding field as motivation for further studies proposed in a concluding paragraph of every chapter.
Language:
English
URL:
https://doi.org/10.4171/127
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