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Geometry, topology and dynamics of character varieties /

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. Aimed at graduate students in the early stages of r...

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Bibliographic Details
Corporate Authors: World Scientific (Firm)
Group Author: Goldman, William. (Editor); Series, Caroline. (Editor); Ser, Peow Tan. (Editor)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; Hackensack, N.J. :
Publication Dates: 2012.
Literature type: eBook
Language: English
Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore v. 23
Subjects:
Geometry, Differential.
Differentiable dynamical systems.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/8445#t=toc
Summary: This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong lemmas in various contexts, introductions to Lorenzian and complex hyperbolic geometry, and representation varieties of surface groups into PSL(2,[real numbers]) and other semi-simple Lie groups. This volume will serve as a useful portal to students and researchers in a vibrant and multi-faceted area of mathematics.
Carrier Form: 1 online resource (xi,349pages) : illustrations (some color).
Bibliography: Includes bibliographical references.
ISBN: 9789814401364 (electronic bk.)
CLC: O186.1
Contents: An invitation to elementary hyperbolic geometry / Ying Zhang -- Hyperbolic structures on surfaces / Javier Aramayona -- Degenerations of hyperbolic structures on surfaces / Christopher J. Leininger -- Ping-pong lemmas with applications to geometry and topology / Thomas Koberda -- Creating software for visualizing Kleinian groups / Yasushi Yamashita -- Traces in complex hyperbolic geometry / John R. Parker -- Lorentzian geometry / Todd A. Drumm -- Connected components of PGL (2,[real numbers])-representation spaces of non-orientable surfaces / Frederic Palesi -- Rigidity and flexibility of surface groups in semisimple Lie groups / Inkang Kim -- Abelian and non-abelian cohomology / Eugene Z. Xia.

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