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About Punctured Torus Groups and 2-Bridge Knot Groups (I)
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.
Detailed Information
| Author: | Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita (auth.) |
|---|---|
| Publication Year: | 2007 |
| ISBN: | 9783540718079 |
| Pages: | 297 |
| Language: | English |
| File Size: | 5.711 |
| Format: | |
| Price: | FREE |
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