Lectures on Representations of Surface Groups (Zurich Lectures in Advanced Mathematics) - Softcover

Labourie, Francois

Softcover

ISBN 10: 3037191279 ISBN 13: 9783037191279

Publisher: European Mathematical Society, 2013

Synopsis

The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (combinatorial, differential, and algebraic) and is interested in the description of its smooth points, symplectic structure, volume and connected components. He also shows 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, the author does not focus on the details of the differential geometric constructions and refers 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 might also be used by researchers entering this fast expanding field as motivation for further studies. The concluding paragraph of every chapter provides suggestions for further research. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Edition details

• Publisher: European Mathematical Society
• Publication date: 2013
• Language: English
• ISBN 10: 3037191279
• ISBN 13: 9783037191279
• Binding: Paperback
• Number of pages: 145