| Description |
1 online resource (xliii, 252 pages) : illustrations |
| Series |
Lecture notes in mathematics, 0075-8434 ; 1909 |
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Lecture notes in mathematics (Springer-Verlag) ; 1909.
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| 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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
|
English |
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Print version record |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Jorgensen, Troels.
|
| SUBJECT |
Jorgensen, Troels fast |
| Subject |
Kleinian groups.
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Torus (Geometry)
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Knot theory.
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Kleinian groups
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Knot theory
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Torus (Geometry)
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Manifolds.
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Torussen (wiskunde)
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| Form |
Electronic book
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| Author |
Akiyoshi, Hirotaka.
|
| ISBN |
9783540718079 |
|
3540718079 |
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3540718060 |
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9783540718062 |
|
1280864079 |
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9781280864070 |
|
6610864071 |
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9786610864072 |
|
