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Lectures on Representations of Surfa...

Labourie, François,

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Lectures on Representations of Surface Groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on Representations of Surface Groups/ François Labourie
Author:	Labourie, François,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
Description:	1 online resource (145 pages)
Subject:	Differential & Riemannian geometry -
Online resource:	https://doi.org/10.4171/127
Online resource:	https://www.ems-ph.org/img/books/labourie_mini.jpg
ISBN:	9783037196274

Lectures on Representations of Surface Groups
Labourie, François,

Lectures on Representations of Surface Groups[electronic resource] /François Labourie - Zuerich, Switzerland :European Mathematical Society Publishing House,2013 - 1 online resource (145 pages) - Zurich Lectures in Advanced Mathematics (ZLAM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196274

Standard No.: 10.4171/127doiSubjects--Topical Terms:

3480810
Differential & Riemannian geometry

Lectures on Representations of Surface Groups
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520 $a 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.
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