Lectures on representations of surface groups
"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 …
Read More ↓Title Statements
- Full title :Lectures on representations of surface groups / François Labourie.
Summary
"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"--Book details page.
Read More ↓Edition Statements
- Publication Date:2013
Publication Statements
- Publisher(s):European Mathematical Society
- Place of Publication:Zürich
- Language:eng
- Publication Date:2013
Notes
Titre de l'écran-titre (visionné le 17 déc. 2013).
In European Mathematical Society.
The Physical Object
- Description:1 ressource en ligne : : fichier (s) PDF
Edition Identifiers
- ISBN:9783037191279, 3037191279
- DOI:10.4171/127
- oclc:ocn880823178
- LC Classification:QA641
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