2-Orbifold
A01=Suhyoung Choi
Author_Suhyoung Choi
Category=PBM
Discrete Group
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Geometric Structure
Holonomy Representation
Orbifold
Product details
- ISBN 9784931469686
- Publication Date: 01 Aug 2012
- Publisher: Mathematical Society of Japan
- Publication City/Country: JP
- Product Form: Paperback
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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
