On pairs of once-punctured tori. (English) Zbl 1061.30038
Komori, Y. (ed.) et al., Kleinian groups and hyperbolic 3-manifolds. Proceedings of the Warwick workshop, Warwick, UK, September 11–14, 2001. Cambridge: Cambridge University Press (ISBN 0-521-54013-5/pbk). Lond. Math. Soc. Lect. Note Ser. 299, 183-207 (2003).
This is the long-waited printed version of the Jorgensen’s 1975-preprint. It has influenced many Mathematicians including W. Thurston and C. Series. This paper is a detailed study of the space of quasifuchsian once punctured torus groups, freely generated by two loxodromic Möbius transformations having parabolic commutator, in terms of their fundamental polyhedrons, by means of a detailed analysis of the variation on the pattern of isometric planes bounding the polyhedra along with the variation of the group.
For the entire collection see [Zbl 1031.30002].
For the entire collection see [Zbl 1031.30002].
Reviewer: Ismail Naci Cangül (Bursa)
MSC:
| 30F40 | Kleinian groups (aspects of compact Riemann surfaces and uniformization) |
| 20H10 | Fuchsian groups and their generalizations (group-theoretic aspects) |
| 37F30 | Quasiconformal methods and Teichmüller theory, etc. (dynamical systems) (MSC2010) |
