Geometric Structures on 2-Orbifolds (Paperback) (ISBN-13: 9784931469686)

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

Author: Suhyoung Choi
ISBN-10: 493146968X
ISBN-13: 9784931469686
Publisher: Mathematical Society of Japan
Language: English
Published: 08/01/2012
Pages: 171
Format: Paperback
Weight: 0.83lbs
Size: 9.80h x 6.80w x 0.50d