Geometry & Topology Volume 19, issue 6 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

$2\pi$–grafting and complex projective structures, I

Shinpei Baba

Geometry & Topology 19 (2015) 3233–3287

DOI: 10.2140/gt.2015.19.3233

Bibliography

1	S Baba, A Schottky decomposition theorem for complex projective structures, Geom. Topol. 14 (2010) 117 MR2578302
2	S Baba, Complex projective structures with Schottky holonomy, Geom. Funct. Anal. 22 (2012) 267 MR2929066
3	F Bonahon, Variations of the boundary geometry of $3$–dimensional hyperbolic convex cores, J. Differential Geom. 50 (1998) 1 MR1678469
4	J F Brock, Continuity of Thurston's length function, Geom. Funct. Anal. 10 (2000) 741 MR1791139
5	G Calsamiglia, B Deroin, S Francaviglia, The oriented graph of multi-graftings in the Fuchsian case, Publ. Mat. 58 (2014) 31 MR3161507
6	R D Canary, D B A Epstein, P Green, Notes on notes of Thurston, from: "Analytical and geometric aspects of hyperbolic space" (editor D B A Epstein), LMS Lecture Note Ser. 111, Cambridge Univ. Press (1987) 3 MR903850
7	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 Epstein, A Marden), LMS Lecture Note Ser. 328, CUP (2006) 1 MR2235710
8	A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts 9, Cambridge Univ. Press (1988) MR964685
9	D Dumas, Complex projective structures, from: "Handbook of Teichmüller theory, II" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 13, Eur. Math. Soc. (2009) 455 MR2497780
10	C J Earle, On variation of projective structures, from: "Riemann surfaces and related topics" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 87 MR624807
11	D B A Epstein, A Marden, V Markovic, Quasiconformal homeomorphisms and the convex hull boundary, Ann. of Math. 159 (2004) 305 MR2052356
12	D Gallo, M Kapovich, A Marden, The monodromy groups of Schwarzian equations on closed Riemann surfaces, Ann. of Math. 151 (2000) 625 MR1765706
13	W M Goldman, Discontinuous groups and the Euler class, PhD thesis, Univ. California, Berkeley (1980) MR2630832
14	W M Goldman, Projective structures with Fuchsian holonomy, J. Differential Geom. 25 (1987) 297 MR882826
15	W M Goldman, Topological components of spaces of representations, Invent. Math. 93 (1988) 557 MR952283
16	D A Hejhal, Monodromy groups and linearly polymorphic functions, Acta Math. 135 (1975) 1 MR0463429
17	J H Hubbard, The monodromy of projective structures, from: "Riemann surfaces and related topics" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 257 MR624819
18	K Ito, Exotic projective structures and quasi-Fuchsian space, II, Duke Math. J. 140 (2007) 85 MR2355068
19	K Ito, On continuous extensions of grafting maps, Trans. Amer. Math. Soc. 360 (2008) 3731 MR2386243
20	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
21	M È Kapovich, Conformal structures with Fuchsian holonomy, Dokl. Akad. Nauk SSSR 301 (1988) 23 MR953597
22	M Kapovich, On monodromy of complex projective structures, Invent. Math. 119 (1995) 243 MR1312500
23	M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Mathematics 183, Birkhäuser (2001) MR1792613
24	L Keen, C Series, Continuity of convex hull boundaries, Pacific J. Math. 168 (1995) 183 MR1331998
25	R S Kulkarni, U Pinkall, A canonical metric for Möbius structures and its applications, Math. Z. 216 (1994) 89 MR1273468
26	Y N Minsky, Harmonic maps, length, and energy in Teichmüller space, J. Differential Geom. 35 (1992) 151 MR1152229
27	Y N Minsky, On dynamics of $\operatorname{Out}(F_n)$ on $\operatorname{PSL}_2 (\mathbb{C})$ characters, Israel J. Math. 193 (2013) 47 MR3038545
28	R C Penner, J L Harer, Combinatorics of train tracks, Annals of Mathematics Studies 125, Princeton Univ. Press (1992) MR1144770
29	H Tanigawa, Grafting, harmonic maps and projective structures on surfaces, J. Differential Geom. 47 (1997) 399 MR1617652
30	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
31	W P Thurston, Three-dimensional geometry and topology, I, Princeton Mathematical Series 35, Princeton Univ. Press (1997) MR1435975