| Punctured Torus Groups and 2-Bridge Knot Groups (I) Contributor(s): Akiyoshi, Hirotaka (Author), Sakuma, Makoto (Author), Wada, Masaaki (Author) |
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ISBN: 3540718060 ISBN-13: 9783540718062 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: June 2007 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Group Theory - Mathematics | Functional Analysis |
| Dewey: 515.93 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.7" H x 6.26" W x 9.17" (1.03 lbs) 256 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |