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.
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.
Punctured Torus Groups and 2-Bridge Knot Groups (I)
256
Punctured Torus Groups and 2-Bridge Knot Groups (I)
256Paperback(2007)
Product Details
| ISBN-13: | 9783540718062 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 07/20/2007 |
| Series: | Lecture Notes in Mathematics , #1909 |
| Edition description: | 2007 |
| Pages: | 256 |
| Product dimensions: | 6.10(w) x 9.10(h) x 0.70(d) |