| 1 |
W Abikoff, B
Maskit, Geometric decompositions of
Kleinian groups, Amer. J. Math. 99 (1977) 687–697
MR0480992 |
| 2 |
L V Ahlfors,
Lectures on quasiconformal mappings, The Wadsworth &
Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole
Advanced Books & Software (1987) MR883205
With the assistance of Clifford J. Earle, Jr., Reprint of the
1966 original |
| 3 |
L V Ahlfors,
Finitely
generated Kleinian groups, Amer. J. Math. 86 (1964)
413–429 MR0167618 |
| 4 |
L V Ahlfors,
The structure
of a finitely generated Kleinian group, Acta Math. 122
(1969) 1–17 MR0237782 |
| 5 |
L Ahlfors, L
Bers, Riemann's mapping theorem
for variable metrics, Ann. of Math. (2) 72 (1960)
385–404 MR0115006 |
| 6 |
J W Anderson,
R D Canary, Algebraic limits of
Kleinian groups which rearrange the pages of a book,
Invent. Math. 126 (1996) 205–214 MR1411128 |
| 7 |
J W Anderson,
R D Canary,
Cores of hyperbolic 3–manifolds and limits of Kleinian
groups, Amer. J. Math. 118 (1996) 745–779
MR1400058 |
| 8 |
J W Anderson,
R D Canary, Cores of
hyperbolic 3–manifolds and limits of Kleinian groups
II, J. London Math. Soc. (2) 61 (2000) 489–505
MR1760675 |
| 9 |
J W Anderson,
R D Canary, M Culler, P B
Shalen, Free
Kleinian groups and volumes of hyperbolic
3–manifolds, J. Differential Geom. 43 (1996)
738–782 MR1412683 |
| 10 |
J W Anderson,
R D Canary, D McCullough, The topology of deformation
spaces of Kleinian groups, Ann. of Math. (2) 152 (2000)
693–741 MR1815699 |
| 11 |
J W Anderson,
R D Canary, D McCullough, The topology of deformation
spaces of Kleinian groups, Ann. of Math. (2) 152 (2000)
693–741 MR1815699 |
| 12 |
A Basmajian,
S A Wolpert, Hyperbolic
3-manifolds with nonintersecting closed geodesics,
Geom. Dedicata 97 (2003) 251–257 MR2003700
Special volume dedicated to the memory of Hanna Miriam Sandler
(1960–1999) |
| 13 |
R Benedetti, C
Petronio, Lectures on hyperbolic geometry,
Universitext, Springer (1992) MR1219310 |
| 14 |
L Bers, On boundaries of
Teichmüller spaces and on Kleinian groups I, Ann.
of Math. (2) 91 (1970) 570–600 MR0297992 |
| 15 |
L Bers, Simultaneous
uniformization, Bull. Amer. Math. Soc. 66 (1960)
94–97 MR0111834 |
| 16 |
L Bers, Spaces of
Kleinian groups, from: "Several Complex Variables I (Proc.
Conf., Univ. of Maryland, College Park, Md., 1970)", Springer
(1970) 9–34 MR0271333 |
| 17 |
C J Bishop,
P W Jones, Hausdorff dimension and
Kleinian groups, Acta Math. 179 (1997) 1–39
MR1484767 |
| 18 |
F Bonahon, Bouts des
variétés hyperboliques de dimension 3, Ann.
of Math. (2) 124 (1986) 71–158 MR847953 |
| 19 |
F Bonahon, A
Schläfli-type formula for convex cores of hyperbolic
3–manifolds, J. Differential Geom. 50 (1998)
25–58 MR1678473 |
| 20 |
F Bonahon, Variations
of the boundary geometry of 3–dimensional hyperbolic
convex cores, J. Differential Geom. 50 (1998)
1–24 MR1678469 |
| 21 |
F Bonahon, J P
Otal, Variétés
hyperboliques à géodésiques arbitrairement
courtes, Bull. London Math. Soc. 20 (1988)
255–261 MR931188 |
| 22 |
B H Bowditch,
Geometrical
finiteness for hyperbolic groups, J. Funct. Anal. 113
(1993) 245–317 MR1218098 |
| 23 |
B H Bowditch,
Spaces of geometrically finite representations, Ann.
Acad. Sci. Fenn. Math. 23 (1998) 389–414 MR1642122 |
| 24 |
R Bowen, Hausdorff
dimension of quasicircles, Inst. Hautes Études
Sci. Publ. Math. (1979) 11–25 MR556580 |
| 25 |
J F Brock,
Iteration of mapping classes on a Bers slice: examples of
algebraic and geometric limits of hyperbolic
3–manifolds, from: "Lipa's legacy (New York, 1995)",
Contemp. Math. 211, Amer. Math. Soc. (1997) 81–106
MR1476982 |
| 26 |
J F Brock,
Iteration of mapping classes and limits of hyperbolic
3–manifolds, PhD thesis, UC Berkeley (1997) |
| 27 |
R D Canary,
Algebraic
convergence of Schottky groups, Trans. Amer. Math. Soc.
337 (1993) 235–258 MR1137257 |
| 28 |
R D Canary,
Covering theorems for hyperbolic 3–manifolds,
from: "Low-dimensional topology (Knoxville, TN, 1992)", Conf.
Proc. Lecture Notes Geom. Topology, III, Int. Press, Cambridge,
MA (1994) 21–30 MR1316167 |
| 29 |
R D Canary,
Ends of
hyperbolic 3–manifolds, J. Amer. Math. Soc. 6
(1993) 1–35 MR1166330 |
| 30 |
R D Canary,
Geometrically tame hyperbolic 3–manifolds, from:
"Differential geometry: Riemannian geometry (Los Angeles, CA,
1990)", Proc. Sympos. Pure Math. 54, Amer. Math. Soc. (1993)
99–109 MR1216615 |
| 31 |
R D Canary,
On
the Laplacian and the geometry of hyperbolic
3–manifolds, J. Differential Geom. 36 (1992)
349–367 MR1180387 |
| 32 |
R D Canary,
D B A Epstein, P Green, Notes on
notes of Thurston, from: "Analytical and geometric aspects
of hyperbolic space (Coventry/Durham, 1984)", London Math. Soc.
Lecture Note Ser. 111, Cambridge Univ. Press (1987) 3–92
MR903850 |
| 33 |
R D Canary, D
McCullough, Homotopy equivalences of 3–manifolds
and deformation theory of Kleinian groups, Mem. Amer. Math.
Soc. 172 (2004) MR2096234 |
| 34 |
R D Canary,
Y N Minsky, On
limits of tame hyperbolic 3–manifolds, J.
Differential Geom. 43 (1996) 1–41 MR1424418 |
| 35 |
R D Canary,
Y N Minsky, E C Taylor, Spectral
theory, Hausdorff dimension and the topology of hyperbolic
3–manifolds, J. Geom. Anal. 9 (1999) 17–40
MR1760718 |
| 36 |
R D Canary,
E C Taylor, Hausdorff dimension
and limits of Kleinian groups, Geom. Funct. Anal. 9
(1999) 283–297 MR1692482 |
| 37 |
V Chuckrow,
On Schottky
groups with applications to kleinian groups, Ann. of
Math. (2) 88 (1968) 47–61 MR0227403 |
| 38 |
T D Comar,
Hyperbolic Dehn surgery and convergence of Kleinian
groups, PhD thesis, University of Michigan (1996) |
| 39 |
M Culler, C M
Gordon, J Luecke, P B Shalen,
Dehn surgery on
knots, Ann. of Math. (2) 125 (1987) 237–300
MR881270 |
| 40 |
M Culler, P B
Shalen, Varieties of group
representations and splittings of 3–manifolds,
Ann. of Math. (2) 117 (1983) 109–146 MR683804 |
| 41 |
M Culler, P B
Shalen, Bounded, separating,
incompressible surfaces in knot manifolds, Invent.
Math. 75 (1984) 537–545 MR735339 |
| 42 |
C E Fan,
Injectivity radius bounds in hyperbolic convex cores,
PhD thesis, University of Michigan (1997) |
| 43 |
C E Fan,
Injectivity radius bounds in hyperbolic I-bundle convex
cores, preprint |
| 44 |
C E Fan, J
Jorgenson, Small eigenvalues and Hausdorff dimension of
sequences of hyperbolic three-manifolds, from: "Dynamical,
spectral, and arithmetic zeta functions (San Antonio, TX,
1999)", Contemp. Math. 290, Amer. Math. Soc. (2001) 57–66
MR1868468 |
| 45 |
F W Gehring, J
Väisälä, Hausdorff dimension
and quasiconformal mappings, J. London Math. Soc. (2) 6
(1973) 504–512 MR0324028 |
| 46 |
L Greenberg,
Discrete subgroups of the Lorentz group, Math. Scand. 10
(1962) 85–107 MR0141731 |
| 47 |
M Gromov,
Hyperbolic manifolds (according to Thurston and Jø
rgensen), from: "Bourbaki Seminar, Vol. 1979/80", Lecture
Notes in Math. 842, Springer (1981) 40–53 MR636516 |
| 48 |
J Hempel,
3–Manifolds, Ann. of Math. Studies 86, Princeton
University Press (1976) MR0415619 |
| 49 |
W Jaco, Lectures on
three-manifold topology, CBMS Regional Conference Series in
Mathematics 43, American Mathematical Society (1980) MR565450 |
| 50 |
W Jaco, P B
Shalen, Seifert fibered spaces in 3–manifolds,
from: "Geometric topology (Proc. Georgia Topology Conf.,
Athens, Ga., 1977)", Academic Press (1979) 91–99 MR537728 |
| 51 |
K Johannson,
Homotopy equivalences of 3–manifolds with
boundaries, Lecture Notes in Mathematics 761, Springer
(1979) MR551744 |
| 52 |
T Jørgensen,
On cyclic groups of Möbius transformations, Math.
Scand. 33 (1973) 250–260 MR0348103 |
| 53 |
T Jørgensen,
On discrete
groups of Möbius transformations, Amer. J. Math.
98 (1976) 739–749 MR0427627 |
| 54 |
T Jørgensen, P
Klein, Algebraic convergence of finitely generated
Kleinian groups, Quart. J. Math. Oxford Ser. (2) 33 (1982)
325–332 MR668178 |
| 55 |
T Jørgensen, A
Marden, Algebraic and geometric convergence of Kleinian
groups, Math. Scand. 66 (1990) 47–72 MR1060898 |
| 56 |
L Keen, C
Series, Pleating
coordinates for the Teichmüller space of a punctured
torus, Bull. Amer. Math. Soc. (N.S.) 26 (1992)
141–146 MR1110439 |
| 57 |
L Keen, C
Series, Pleating
coordinates for the Maskit embedding of the Teichmüller
space of punctured tori, Topology 32 (1993)
719–749 MR1241870 |
| 58 |
L Keen, C
Series, Pleating
invariants for punctured torus groups, Topology 43
(2004) 447–491 MR2052972 |
| 59 |
L Keen, C
Series, The Riley slice of
Schottky space, Proc. London Math. Soc. (3) 69 (1994)
72–90 MR1272421 |
| 60 |
S P Kerckhoff,
W P Thurston, Noncontinuity of the
action of the modular group at Bers' boundary of
Teichmüller space, Invent. Math. 100 (1990)
25–47 MR1037141 |
| 61 |
I Kra, On lifting
Kleinian groups to SL(2,C), from: "Differential
geometry and complex analysis" (editors I Chavel, H Farkas),
Springer (1985) 181–193 MR780044 |
| 62 |
I Kra, On spaces of Kleinian
groups, Comment. Math. Helv. 47 (1972) 53–69
MR0306485 |
| 63 |
O Lehto, K I
Virtanen, Quasiconformal mappings in the plane, Die
Grundlehren der mathematischen Wissenschaften 126, Springer
(1973) MR0344463
Translated from the German by K. W. Lucas |
| 64 |
A Marden, The geometry of finitely
generated kleinian groups, Ann. of Math. (2) 99 (1974)
383–462 MR0349992 |
| 65 |
A Marden, Geometric
relations between homeomorphic Riemann surfaces, Bull.
Amer. Math. Soc. (N.S.) 3 (1980) 1001–1017 MR585180 |
| 66 |
B Maskit, On boundaries of
Teichmüller spaces and on Kleinian groups II, Ann.
of Math. (2) 91 (1970) 607–639 MR0297993 |
| 67 |
B Maskit, A
characterization of Schottky groups, J. Analyse Math. 19
(1967) 227–230 MR0220929 |
| 68 |
B Maskit, Kleinian
groups, Grundlehren der Mathematischen Wissenschaften 287,
Springer (1988) MR959135 |
| 69 |
B Maskit, Parabolic elements in
Kleinian groups, Ann. of Math. (2) 117 (1983)
659–668 MR701259 |
| 70 |
B Maskit, Self-maps on Kleinian
groups, Amer. J. Math. 93 (1971) 840–856 MR0291453 |
| 71 |
K Matsuzaki, M
Taniguchi, Hyperbolic manifolds and Kleinian groups,
Oxford Mathematical Monographs, Oxford University Press (1998)
MR1638795
Oxford Science Publications |
| 72 |
D McCullough,
Compact submanifolds of 3–manifolds with boundary,
Quart. J. Math. Oxford Ser. (2) 37 (1986) 299–307
MR854628 |
| 73 |
D McCullough, A
Miller, G A Swarup, Uniqueness of
cores of noncompact 3–manifolds, J. London Math.
Soc. (2) 32 (1985) 548–556 MR825931 |
| 74 |
C McMullen,
Cusps are
dense, Ann. of Math. (2) 133 (1991) 217–247
MR1087348 |
| 75 |
C T McMullen,
Hausdorff
dimension and conformal dynamics I: Strong convergence of
Kleinian groups, J. Differential Geom. 51 (1999)
471–515 MR1726737 |
| 76 |
Y N Minsky,
The
classification of punctured-torus groups, Ann. of Math.
(2) 149 (1999) 559–626 MR1689341 |
| 77 |
J W Morgan, On
Thurston's uniformization theorem for three-dimensional
manifolds, from: "The Smith conjecture (New York, 1979)",
Pure Appl. Math. 112, Academic Press (1984) 37–125
MR758464 |
| 78 |
J W Morgan,
P B Shalen, Valuations, trees, and
degenerations of hyperbolic structures I, Ann. of Math.
(2) 120 (1984) 401–476 MR769158 |
| 79 |
J W Morgan,
P B Shalen, Degenerations of hyperbolic
structures II: Measured laminations in
3–manifolds, Ann. of Math. (2) 127 (1988)
403–456 MR932305 |
| 80 |
J W Morgan,
P B Shalen, Degenerations of hyperbolic
structures III: Actions of 3–manifold groups on trees and
Thurston's compactness theorem, Ann. of Math. (2) 127
(1988) 457–519 MR942518 |
| 81 |
G D Mostow,
Strong rigidity of locally symmetric spaces, Annals of
Mathematics Studies 78, Princeton University Press (1973)
MR0385004 |
| 82 |
K Ohshika,
Divergent sequences of Kleinian groups, from: "The
Epstein birthday schrift", Geom. Topol. Monogr. 1, Geom. Topol.
Publ., Coventry (1998) 419–450 MR1668324 |
| 83 |
K Ohshika, Ending laminations
and boundaries for deformation spaces of Kleinian
groups, J. London Math. Soc. (2) 42 (1990)
111–121 MR1078179 |
| 84 |
K Ohshika,
Geometric behaviour of Kleinian groups on boundaries for
deformation spaces, Quart. J. Math. Oxford Ser. (2) 43
(1992) 97–111 MR1150472 |
| 85 |
K Ohshika,
Geometrically finite Kleinian groups and parabolic
elements, Proc. Edinburgh Math. Soc. (2) 41 (1998)
141–159 MR1604337 |
| 86 |
K Ohshika, Kleinian
groups which are limits of geometrically finite groups,
Mem. Amer. Math. Soc. 177 (2005) MR2154090 |
| 87 |
K Ohshika, Strong
convergence of Kleinian groups and Carathéodory
convergence of domains of discontinuity, Math. Proc.
Cambridge Philos. Soc. 112 (1992) 297–307 MR1171166 |
| 88 |
J P Otal,
Sur la
dégénérescence des groupes de Schottky,
Duke Math. J. 74 (1994) 777–792 MR1277954 |
| 89 |
J P Otal, Le
théorème d'hyperbolisation pour les
variétés fibrées de dimension 3,
Astérisque (1996) MR1402300 |
| 90 |
J P Otal, F
Paulin, Géométrie hyperbolique et groupes
kleiniens, in preparation |
| 91 |
G Prasad, Strong rigidity of
Q–rank 1 lattices, Invent. Math. 21 (1973)
255–286 MR0385005 |
| 92 |
D Ruelle, Repellers
for real analytic maps, Ergodic Theory Dynamical Systems 2
(1982) 99–107 MR684247 |
| 93 |
G P Scott,
Compact
submanifolds of 3–manifolds, J. London Math. Soc.
(2) 7 (1973) 246–250 MR0326737 |
| 94 |
P B Shalen,
Representations of 3–manifold groups and applications
in topology, from: "Proceedings of the International
Congress of Mathematicians (Berkeley, CA, 1986)", Amer. Math.
Soc. (1987) 607–614 MR934262 |
| 95 |
D Sullivan, On the
ergodic theory at infinity of an arbitrary discrete group of
hyperbolic motions, from: "Riemann surfaces and related
topics: Proceedings of the 1978 Stony Brook Conference (State
Univ. New York, Stony Brook, N.Y., 1978)", Ann. of Math. Stud.
97, Princeton Univ. Press (1981) 465–496 MR624833 |
| 96 |
D Sullivan,
Entropy,
Hausdorff measures old and new, and limit sets of geometrically
finite Kleinian groups, Acta Math. 153 (1984)
259–277 MR766265 |
| 97 |
D Sullivan,
Quasiconformal
homeomorphisms and dynamics II: Structural stability implies
hyperbolicity for Kleinian groups, Acta Math. 155
(1985) 243–260 MR806415 |
| 98 |
E C Taylor,
Geometric finiteness and the convergence of Kleinian
groups, Comm. Anal. Geom. 5 (1997) 497–533 MR1487726 |
| 99 |
W P Thurston,
Hyperbolic
structures on 3–manifolds I: Deformation of acylindrical
manifolds, Ann. of Math. (2) 124 (1986) 203–246
MR855294 |
| 100 |
W P Thurston,
Hyperbolic structures on 3–manifolds II: Surface
groups and 3–manifolds which fiber over the circle,
preprint |
| 101 |
W P Thurston,
Three-dimensional
manifolds, Kleinian groups and hyperbolic geometry,
Bull. Amer. Math. Soc. (N.S.) 6 (1982) 357–381 MR648524 |
| 102 |
W P Thurston,
The geometry and topology of 3–manifolds, Lecture
notes, Princeton University (1978) |
| 103 |
D J Wright,
The shape of the boundary of Maskit's embedding of the
Teichmüller space of once punctured tori,
preprint |
