E-Book, Englisch, Band 1909, 256 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Akiyoshi / Sakuma / Wada Punctured Torus Groups and 2-Bridge Knot Groups (I)
2007
ISBN: 978-3-540-71807-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1909, 256 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-71807-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
