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

Häftad, Engelska, 2007

AvHirotaka Akiyoshi,Makoto Sakuma,Masaaki Wada,Yasushi Yamashita

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Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers 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.

Produktinformation

Utgivningsdatum2007-06-08
Mått155 x 235 x 17 mm
Vikt464 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor256
Upplaga2007
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540718062

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From the reviews: "The present monograph is Part 1 of a book intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. ... This monograph written by well-known experts is an excellent presentation of Jorgensen's theory with many informative illustrations. It will be very useful for researchers working on modern problems in quasifuchsian group theory, hyperbolic and geometry and hyperbolic knot theory." (Andrei Vesnin, Zentralblatt MATH, Vol. 1132 (10), 2008)