Punctured Torus Groups and 2-Bridge Knot Groups (I)
Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita (auth.)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.
Categories:
Year:
2007
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
english
Pages:
256
ISBN 10:
3540718079
ISBN 13:
9783540718062
ISBN:
1397835407180
Series:
Lecture Notes in Mathematics 1909
File:
PDF, 5.71 MB
IPFS:
,
english, 2007
This book isn't available for download due to the complaint of the copyright holder