Punctured Torus Groups and 2-Bridge Knot Groups (I)

Punctured Torus Groups and 2-Bridge Knot Groups (I) PDF

Author: Hirotaka Akiyoshi

Publisher: Springer

Published: 2007-05-26

Total Pages: 293

ISBN-13: 3540718079

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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.