Geometric structures on 2-orbifolds : exploration of discrete symmetry
Author(s)
Bibliographic Information
Geometric structures on 2-orbifolds : exploration of discrete symmetry
（MSJ memoirs, v. 27）
Mathematical Society of Japan, c2012
Available at / 30 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
S||MSJM||27200026123702
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Note
Includes bibliographical references (p. 163-167) and index
Description and Table of Contents
Description
This book exposes the connection between the low-dimensional orbifold theory and geometry that was first discovered by Thurston in 1970s providing a key tool in his proof of the hyperbolization of Haken 3-manifolds. Our main aims are to explain most of the topology of orbifolds but to explain the geometric structure theory only for 2-dimensional orbifolds, including their Teichmüller (Fricke) spaces. We tried to collect the theory of orbifolds scattered in various literatures for our purposes. Here, we set out to write down the traditional approach to orbifolds using charts, and we include the categorical definition using groupoids. We will also maintain a collection of illustrative MathematicaTM packages at our homepages.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Table of Contents
- Introduction
- Manifolds and G-Structures
- Geometry and Discrete Groups
- Topology of Orbifolds
- Topology of 2-Orbifolds
- Geometry of Orbifolds: Geometric Structures on Orbifolds
- Deformation Spaces of Hyperbolic Structures on 2-Orbifolds
- Deformation Spaces of Real Projective Structures on 2-Orbifolds.
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