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 inspir...
| Other Authors: | |
|---|---|
| Format: | eBook |
| Language: | Inglés |
| Published: |
Berlin, Germany ; New York, New York :
Springer
[2007]
|
| Edition: | 1st ed. 2007. |
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1909. |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460987706719 |
| Summary: | 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. |
|---|---|
| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (xliii, 252 p.) |
| Bibliography: | Includes bibliographical references (pages [239]-243) and index. |
| ISBN: | 9781280864070 9786610864072 9783540718079 |
