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.
سب زمرہ:
سال:
2007
اشاعت:
1
ناشر کتب:
Springer-Verlag Berlin Heidelberg
زبان:
english
صفحات:
256
ISBN 10:
3540718060
ISBN 13:
9783540718062
سیریز:
Lecture Notes in Mathematics 1909
فائل:
PDF, 2.94 MB
IPFS:
,
english, 2007
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