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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Hauptverfasser: Akiyoshi, Hirotaka, Yamashita, Yasushi (VerfasserIn), Wada, Masaaki (VerfasserIn), Sakuma, Makoto, 19..- (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2007.
Schriftenreihe:Lecture Notes in Mathematics 1909
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Anmerkung: L'impression du document génère 292 p.
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Edition sous un autre format:• Punctured torus groups and 2-bridge knot groups (I), Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada... [et al.], Berlin, Springer, 2007, 1 vol. (XLIII-249 p.), Lecture Notes in Mathematics, 978-3-540-71806-2
Beschreibung
Zusammenfassung: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
Beschreibung:L'impression du document génère 292 p.
Archives Springer e-books (Licence nationale)
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Bibliographie:Bibliogr. index
ISBN:9783540718079
ISSN:1617-9692
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