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

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 inspir...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Akiyoshi, Hirotaka (Author), Sakuma, Makoto (Author), Wada, Masaaki (Author), Yamashita, Yasushi (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Lecture Notes in Mathematics, 1909
Subjects:
Manifolds (Mathematics).
Functions of complex variables.
Group theory.
Manifolds and Cell Complexes.
Functions of a Complex Variable.
Group Theory and Generalizations.
Online Access:Texto Completo
Table of Contents:
  • Jorgensen's picture of quasifuchsian punctured torus groups
  • Fricke surfaces and PSL(2, ?)-representations
  • Labeled representations and associated complexes
  • Chain rule and side parameter
  • Special examples
  • Reformulation of Main Theorem 1.3.5 and outline of the proof
  • Openness
  • Closedness
  • Algebraic roots and geometric roots.

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