%PDF-1.4 % 1 0 obj << /S /GoTo /D (09section.1) >> endobj 4 0 obj (1. Introduction) endobj 5 0 obj << /S /GoTo /D (09subsection.2) >> endobj 8 0 obj (1.1. Convex cocompact manifolds with particles) endobj 9 0 obj << /S /GoTo /D (09subsection.11) >> endobj 12 0 obj (1.2. The conformal structure at infinity) endobj 13 0 obj << /S /GoTo /D (09subsection.19) >> endobj 16 0 obj (1.3. The geometry of the convex core) endobj 17 0 obj << /S /GoTo /D (09subsection.27) >> endobj 20 0 obj (1.4. Prescribing the bending lamination) endobj 21 0 obj << /S /GoTo /D (09subsection.33) >> endobj 24 0 obj (1.5. The induced metric on the boundary of the convex core) endobj 25 0 obj << /S /GoTo /D (09subsection.35) >> endobj 28 0 obj (1.6. Applications) endobj 29 0 obj << /S /GoTo /D (09subsection.36) >> endobj 32 0 obj (1.7. Outline of the proofs) endobj 33 0 obj << /S /GoTo /D (09section.42) >> endobj 36 0 obj (2. The geometry of the convex core) endobj 37 0 obj << /S /GoTo /D (09subsection.43) >> endobj 40 0 obj (2.1. Surfaces orthogonal to the singular locus) endobj 41 0 obj << /S /GoTo /D (09subsection.45) >> endobj 44 0 obj (2.2. The convex core of a manifold with particles) endobj 45 0 obj << /S /GoTo /D (09subsection.50) >> endobj 48 0 obj (2.3. The geometry of the boundary) endobj 49 0 obj << /S /GoTo /D (09subsection.52) >> endobj 52 0 obj (2.4. The distance between the singular curves) endobj 53 0 obj << /S /GoTo /D (09section.57) >> endobj 56 0 obj (3. Compactness statements) endobj 57 0 obj << /S /GoTo /D (09subsection.58) >> endobj 60 0 obj (3.1. Main statement) endobj 61 0 obj << /S /GoTo /D (09subsection.60) >> endobj 64 0 obj (3.2. A finite cover argument) endobj 65 0 obj << /S /GoTo /D (09subsection.61) >> endobj 68 0 obj (3.3. Pleated annuli) endobj 69 0 obj << /S /GoTo /D (09subsection.65) >> endobj 72 0 obj (3.4. Long geodesics in M) endobj 73 0 obj << /S /GoTo /D (09subsection.73) >> endobj 76 0 obj (3.5. Convergence of convex cores) endobj 77 0 obj << /S /GoTo /D (09subsection.79) >> endobj 80 0 obj (3.6. The bending lamination of the convex core) endobj 81 0 obj << /S /GoTo /D (09section.83) >> endobj 84 0 obj (4. Prescribing the measured bending lamination on the boundary of the convex core) endobj 85 0 obj << /S /GoTo /D (09subsection.84) >> endobj 88 0 obj (4.1. A doubling argument) endobj 89 0 obj << /S /GoTo /D (09subsection.86) >> endobj 92 0 obj (4.2. Local deformations) endobj 93 0 obj << /S /GoTo /D (09subsection.88) >> endobj 96 0 obj (4.3. Proof of Theorem 1.12) endobj 97 0 obj << /S /GoTo /D (09subsection.89) >> endobj 100 0 obj (4.4. Proof of Theorem 1.13) endobj 101 0 obj << /S /GoTo /D (09subsection.90) >> endobj 104 0 obj (4.5. The conditions are necessary) endobj 105 0 obj << /S /GoTo /D (09section.92) >> endobj 108 0 obj (5. Earthquakes estimates) endobj 109 0 obj << /S /GoTo /D (09subsection.95) >> endobj 112 0 obj (5.1. The average curvature of geodesics) endobj 113 0 obj << /S /GoTo /D (09subsection.102) >> endobj 116 0 obj (5.2. The grafted metric and the hyperbolic metric at infinity) endobj 117 0 obj << /S /GoTo /D (09subsection.106) >> endobj 120 0 obj (5.3. An upper bound on the lengths of the curves at infinity) endobj 121 0 obj << /S /GoTo /D (09subsection.113) >> endobj 124 0 obj (5.4. A bound on the length of the earthquake lamination) endobj 125 0 obj << /S /GoTo /D (09section.123) >> endobj 128 0 obj (6. The conformal structure at infinity) endobj 129 0 obj << /S /GoTo /D (09subsection.124) >> endobj 132 0 obj (6.1. A topological lemma) endobj 133 0 obj << /S /GoTo /D (09subsection.126) >> endobj 136 0 obj (6.2. Compactness relative to the conformal structure at infinity) endobj 137 0 obj << /S /GoTo /D (09subsection.127) >> endobj 140 0 obj (6.3. Proof of Theorem 1.7) endobj 141 0 obj << /S /GoTo /D (09subsection.128) >> endobj 144 0 obj (6.4. Proof of Theorem 1.14) endobj 145 0 obj << /S /GoTo /D (09section.130) >> endobj 148 0 obj (7. Some questions and remarks) endobj 149 0 obj << /S /GoTo /D (09subsection.131) >> endobj 152 0 obj (7.1. Some questions) endobj 153 0 obj << /S /GoTo /D (09subsection.134) >> endobj 156 0 obj (7.2. AdS manifolds with particles) endobj 157 0 obj << /S /GoTo /D (09subsection.135) >> endobj 160 0 obj (7.3. The renormalized volume) endobj 161 0 obj << /S /GoTo /D (09section*.136) >> endobj 164 0 obj (Appendix A: Quasiconformal estimates) endobj 165 0 obj << /S /GoTo /D (09subsection.137) >> endobj 168 0 obj (A.1. Pants decompositions) endobj 169 0 obj << /S /GoTo /D (09subsection.149) >> endobj 172 0 obj (A.2. Proof of Proposition 1.15) endobj 173 0 obj << /S /GoTo /D (09section*.153) >> endobj 176 0 obj (Acknowledgements) endobj 177 0 obj << /S /GoTo /D (09section*.154) >> endobj 180 0 obj (References) endobj 181 0 obj << /S /GoTo /D [182 0 R /FitBH] >> endobj 191 0 obj << /Length 2802 /Filter /FlateDecode >> stream xڝZ[۶~S¸ xN⤱y$SITH*ͯoKIn^spt_PDڎ;y`љZ(&|;ZI_g Y5\a,!9Oū0 2_HA Mn2[d$S\YVL+"8ÌejbmI|eFhGq7Q%L\P]eOh,,ogRNē|\qEH4JJV (F,nRFdTݶ&갔4chR|s$Sޔ)˂k@"Pr_4lmQ+ ֤zqᅌy: \PyT7'%O&q)"O|9u|u8`R2%)œ=x0'uHRBq[ΉX qY 7g&t@͘+b9a҉n^? ̇5R0.RA^ I烿cEw|@ KXX/ )]^mYN.,J%Kb9wr";5M 1SIaU|ʈIg*Xo0Ɖe9"|p/*{Cnq"u?ۡ t WmyXVjeBD/x 볍ٯ[Lӄ ,y]^췗u91l/nyX6؞7YpⰩl|X