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

Paperback Engels 2007 2007e druk 9783540718062
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783540718062
Taal:Engels
Bindwijze:paperback
Aantal pagina's:256
Uitgever:Springer Berlin Heidelberg
Druk:2007

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Inhoudsopgave

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