Volume 14, issue 1 (2010)

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A Schottky decomposition theorem for complex projective structures

Shinpei Baba

Geometry & Topology 14 (2010) 117–151
Bibliography
1 K Bromberg, Projective structures with degenerate holonomy and the Bers density conjecture, Ann. of Math. $(2)$ 166 (2007) 77 MR2342691
2 R D Canary, D B A Epstein, P L Green, Notes on notes of Thurston, from: "Fundamentals of hyperbolic geometry: selected expositions" (editors R D Canary, D B A Epstein, A Marden), London Math. Soc. Lecture Note Ser. 328, Cambridge Univ. Press (2006) 1 MR2235710
3 A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts 9, Cambridge Univ. Press (1988) MR964685
4 S Choi, Convex decompositions of real projective surfaces. II. Admissible decompositions, J. Differential Geom. 40 (1994) 239 MR1293655
5 D B A Epstein, A Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, from: "Fundamentals of hyperbolic geometry: selected expositions" (editors R D Canary, D B A Epstein, A Marden), London Math. Soc. Lecture Note Ser. 328, Cambridge Univ. Press (2006) 117 MR2235711
6 D B A Epstein, A Marden, V Markovic, Quasiconformal homeomorphisms and the convex hull boundary, Ann. of Math. $(2)$ 159 (2004) 305 MR2052356
7 D Gallo, M Kapovich, A Marden, The monodromy groups of Schwarzian equations on closed Riemann surfaces, Ann. of Math. $(2)$ 151 (2000) 625 MR1765706
8 É Ghys, P d l Harpe, editors, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Math. 83, Birkhäuser (1990) MR1086648
9 W M Goldman, Discontinuous groups and the Euler class, PhD thesis, University of California, Berkeley (1980)
10 W M Goldman, Projective structures with Fuchsian holonomy, J. Differential Geom. 25 (1987) 297 MR882826
11 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
12 D A Hejhal, Monodromy groups and linearly polymorphic functions, Acta Math. 135 (1975) 1 MR0463429
13 J H Hubbard, The monodromy of projective structures, from: "Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 257 MR624819
14 Y Kamishima, S P Tan, Deformation spaces on geometric structures, from: "Aspects of low-dimensional manifolds" (editors Y Matsumoto, S Morita), Adv. Stud. Pure Math. 20, Kinokuniya (1992) 263 MR1208313
15 M Kapovich, On monodromy of complex projective structures, Invent. Math. 119 (1995) 243 MR1312500
16 M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Math. 183, Birkhäuser (2001) MR1792613
17 R S Kulkarni, U Pinkall, A canonical metric for Möbius structures and its applications, Math. Z. 216 (1994) 89 MR1273468
18 J W Morgan, P B Shalen, Free actions of surface groups on $\mathbf{R}$–trees, Topology 30 (1991) 143 MR1098910
19 J P Otal, The hyperbolization theorem for fibered $3$–manifolds, SMF/AMS Texts and Monographs 7, Amer. Math. Soc. (2001) MR1855976
20 R C Penner, J L Harer, Combinatorics of train tracks, Annals of Math. Studies 125, Princeton Univ. Press (1992) MR1144770
21 H Tanigawa, Grafting, harmonic maps and projective structures on surfaces, J. Differential Geom. 47 (1997) 399 MR1617652
22 W P Thurston, Three-dimensional geometry and topology. Vol. 1, Princeton Math. Series 35, Princeton Univ. Press (1997) MR1435975