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

• Κύριοι συγγραφείς: Akiyoshi, Hirotaka (Συγγραφέας), Sakuma, Makoto (Συγγραφέας), Wada, Masaaki (Συγγραφέας), Yamashita, Yasushi (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1909
• Θέματα: Mathematics.; Group theory.; Functions of complex variables.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Functions of a Complex Variable.; Group Theory and Generalizations.

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...

Πίνακας περιεχομένων:

• 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.