Punctured Torus Groups and 2-Bridge Knot Groups I (Lecture Notes in Mathematics, 1909, Band 1909) Akiyoshi, Hirotaka; Sakuma, Makoto; Wada, Masaaki and Yamashita, Yasushi
Language: English
Published by Springer, 2007
- Softcover
- New
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- Title
- Punctured Torus Groups and 2-Bridge Knot Groups I (Lecture Notes in Mathematics, 1909, Band 1909) Akiyoshi, Hirotaka; Sakuma, Makoto; Wada, Masaaki and Yamashita, Yasushi
- Author
- Akiyoshi, Hirotaka; Sakuma, Makoto; Wada, Masaaki; Yamashita, Yasushi
- Publisher
- Springer
- Publication year
- 2007
- Condition
- Neu
- Binding
- Paperback Jun 02, 2010
- Language
- English
- ISBN 10
- 3540718060
- ISBN 13
- 9783540718062
Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory.
Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology.
In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.
"About the title" may belong to another edition of this title.
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