Hirotaka Akiyoshi: Punctured Torus Groups and 2-Bridge Knot Groups (I)
Punctured Torus Groups and 2-Bridge Knot Groups (I)
Buch
- Springer Berlin Heidelberg, 06/2007
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783540718062
- Bestellnummer: 7705769
- Umfang: 304 Seiten
- Sonstiges: 87 SW-Abb.,
- Auflage: 2007
- Copyright-Jahr: 2007
- Gewicht: 464 g
- Maße: 235 x 155 mm
- Stärke: 16 mm
- Erscheinungstermin: 8.6.2007
- Serie: Lecture Notes in Mathematics - Band 1909
Achtung: Artikel ist nicht in deutscher Sprache!
Beschreibung
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.