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Coordinates for Quasi-Fuchsian Punctured Torus Space

John R Parker and Jouni Parkkonen

Geometry & Topology Monographs 1 (1998) 451–478

DOI: 10.2140/gtm.1998.1.451

Bibliography
1 P Arés Gastesi, Coordinates for Teichmüller spaces of b–groups with torsion, Ann. Acad. Sci. Fenn. Ser. A I Math. 20 (1995) 279–300 MR1346813
2 P Buser, Geometry and spectra of compact Riemann surfaces, Progress in Mathematics 106, Birkhäuser (1992) MR1183224
3 C J Earle, A Marden, Geometric complex coordinates for Teichmüller space, in preparation
4 D B A Epstein, A Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, from: "Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984)", London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987) 113–253 MR903852
5 L Keen, C Series, Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori, Topology 32 (1993) 719–749 MR1241870
6 L Keen, C Series, Continuity of convex hull boundaries, Pacific J. Math. 168 (1995) 183–206 MR1331998
7 L Keen, C Series, How to bend pairs of punctured tori, from: "Lipa's legacy (New York, 1995)", Contemp. Math. 211, Amer. Math. Soc. (1997) 359–387 MR1476997
8 L Keen, C Series, Pleating invariants for punctured torus groups, Topology 43 (2004) 447–491 MR2052972
9 C Kourouniotis, Deformations of hyperbolic structures, Math. Proc. Cambridge Philos. Soc. 98 (1985) 247–261 MR795891
10 C Kourouniotis, The geometry of bending quasi–Fuchsian groups, from: "Discrete groups and geometry (Birmingham, 1991)", London Math. Soc. Lecture Note Ser. 173, Cambridge Univ. Press (1992) 148–164 MR1196924
11 C Kourouniotis, Complex length coordinates for quasi–Fuchsian groups, Mathematika 41 (1994) 173–188 MR1288062
12 I Kra, Horocyclic coordinates for Riemann surfaces and moduli spaces I: Teichmüller and Riemann spaces of Kleinian groups, J. Amer. Math. Soc. 3 (1990) 499–578 MR1049503
13 I Kra, B Maskit, The deformation space of a Kleinian group, Amer. J. Math. 103 (1981) 1065–1102 MR630778
14 B Maskit, On Klein's combination theorem II, Trans. Amer. Math. Soc. 131 (1968) 32–39 MR0223570
15 B Maskit, Kleinian groups, Grundlehren der Mathematischen Wissenschaften 287, Springer (1988) MR959135
16 C T McMullen, Complex earthquakes and Teichmüller theory, J. Amer. Math. Soc. 11 (1998) 283–320 MR1478844
17 J Nielsen, Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden, Math. Ann. 78 (1964) 385–397 MR1511907
18 J R Parker, C Series, Bending formulae for convex hull boundaries, J. Anal. Math. 67 (1995) 165–198 MR1383492
19 J Parkkonen, Geometric complex analytic coordinates for deformation spaces of Koebe groups, Ann. Acad. Sci. Fenn. Math. Diss. (1995) MR1371656
20 S P Tan, Complex Fenchel–Nielsen coordinates for quasi–Fuchsian structures, Internat. J. Math. 5 (1994) 239–251 MR1266284
21 P Waterman, S Wolpert, Earthquakes and tessellations of Teichmüller space, Trans. Amer. Math. Soc. 278 (1983) 157–167 MR697067
22 S Wolpert, The Fenchel–Nielsen deformation, Ann. of Math. (2) 115 (1982) 501–528 MR657237
23 S Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math. (2) 117 (1983) 207–234 MR690844
24 D J Wright, The shape of the boundary of Maskit's embedding of the Teichmüller space of once punctured tori, preprint