ENGLISH

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

By Hirotaka Akiyoshi , Makoto Sakuma , Masaaki Wada , Yasushi Yamashita (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
3540718060, 9783540718062
DOI
10.1007/978-3-540-71807-9
Open Library ID
OL9063654M
Language
english
Format
PDF
Filesize
3 MB (3086522 bytes)
Series
Lecture Notes in Mathematics 1909
Edition
1
Pages
256\297
Library
Kolxo3
Time added
2009-07-20 03:45:11
Manifolds and Cell Complexes (incl. Diff.Topology)

Description

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.

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