|
Geometry & Topology 6 (2002)
91–152
|
| 1 |
W Abikoff, The real
analytic theory of Teichmüller space, Lecture Notes in
Mathematics 820, Springer (1980) MR590044 |
| 2 |
G N Arzhantseva,
On
quasiconvex subgroups of word hyperbolic groups, Geom.
Dedicata 87 (2001) 191–208 MR1866849 |
| 3 |
R Baer, Isotopien
von Kurven auf orientierbaren, geschlossenen Flächen und
ihr Zusammenhang mit der topologischen Deformation der
Flächen, J. Reine Angew. Math. 159 (1928)
101–116 |
| 4 |
L Bers, Fiber spaces over
Teichmüller spaces, Acta. Math. 130 (1973)
89–126 MR0430318 |
| 5 |
L Bers, An extremal problem for
quasiconformal mappings and a theorem by Thurston, Acta
Math. 141 (1978) 73–98 MR0477161 |
| 6 |
M Bestvina, M
Feighn, A
combination theorem for negatively curved groups, J.
Differential Geom. 35 (1992) 85–101 MR1152226 |
| 7 |
J S Birman,
Braids, links, and mapping class groups, Annals of
Mathematics Studies 82, Princeton University Press (1974)
MR0375281 |
| 8 |
J S Birman, A
Lubotzky, J McCarthy, Abelian and
solvable subgroups of the mapping class groups, Duke
Math. J. 50 (1983) 1107–1120 MR726319 |
| 9 |
N Brady, Branched
coverings of cubical complexes and subgroups of hyperbolic
groups, J. London Math. Soc. (2) 60 (1999)
461–480 MR1724853 |
| 10 |
J Brock, B
Farb,
Curvature and rank of Teichmüller space, Amer. J.
Math. 128 (2006) 1–22 MR2197066 |
| 11 |
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 |
| 12 |
J W Cannon,
The theory of negatively curved spaces and groups, from:
"Ergodic theory, symbolic dynamics, and hyperbolic spaces
(Trieste, 1989)", Oxford Sci. Publ., Oxford Univ. Press (1991)
315–369 MR1130181 |
| 13 |
D B A
Epstein, Curves on 2–manifolds and isotopies,
Acta Math. 115 (1966) 83–107 MR0214087 |
| 14 |
B Farb, A
Lubotzky, Y Minsky, Rank-1
phenomena for mapping class groups, Duke Math. J. 106
(2001) 581–597 MR1813237 |
| 15 |
B Farb, L
Mosher, The geometry of
surface-by-free groups, Geom. Funct. Anal. 12 (2002)
915–963 MR1937831 |
| 16 |
, Travaux de Thurston sur
les surfaces, Astérisque 66, Société
Mathématique de France (1979) MR568308
Séminaire Orsay, With an English summary |
| 17 |
F P Gardiner,
H Masur, Extremal length geometry of Teichmüller
space, Complex Variables Theory Appl. 16 (1991)
209–237 MR1099913 |
| 18 |
S M Gersten,
Cohomological
lower bounds for isoperimetric functions on groups,
Topology 37 (1998) 1031–1072 MR1650363 |
| 19 |
G
González-Díez, W J Harvey,
Surface
groups inside mapping class groups, Topology 38 (1999)
57–69 MR1644059 |
| 20 |
A Haefliger,
Complexes of groups and orbihedra, from: "Group theory
from a geometrical viewpoint (Trieste, 1990)", World Sci.
Publ., River Edge, NJ (1991) 504–540 MR1170375 |
| 21 |
J Hubbard, H
Masur, Quadratic differentials
and foliations, Acta Math. 142 (1979) 221–274
MR523212 |
| 22 |
Y Imayoshi, M
Taniguchi, An introduction to Teichmüller
spaces, Springer (1992) MR1215481
Translated and revised from the Japanese by the authors |
| 23 |
N V Ivanov,
Subgroups of Teichmüller modular groups,
Translations of Mathematical Monographs 115, American
Mathematical Society (1992) MR1195787
Translated from the Russian by E. J. F. Primrose and revised by
the author |
| 24 |
N V Ivanov,
Automorphisms of complexes of curves and of Teichmüller
spaces, from: "Progress in knot theory and related topics",
Travaux en Cours 56, Hermann (1997) 113–120 MR1603146 |
| 25 |
M Kapovich, On
normal subgroups in the fundamental groups of complex
surfaces, arXiv:math.GT/9808085 |
| 26 |
S P Kerckhoff,
The
asymptotic geometry of Teichmüller space, Topology
19 (1980) 23–41 MR559474 |
| 27 |
B Maskit,
Comparison of hyperbolic and extremal lengths, Ann.
Acad. Sci. Fenn. Ser. A I Math. 10 (1985) 381–386
MR802500 |
| 28 |
H Masur, Uniquely ergodic
quadratic differentials, Comment. Math. Helv. 55 (1980)
255–266 MR576605 |
| 29 |
H Masur, Interval exchange
transformations and measured foliations, Ann. of Math.
(2) 115 (1982) 169–200 MR644018 |
| 30 |
H Masur, Two
boundaries of Teichmüller space, Duke Math. J. 49
(1982) 183–190 MR650376 |
| 31 |
H Masur, Hausdorff
dimension of the set of nonergodic foliations of a quadratic
differential, Duke Math. J. 66 (1992) 387–442
MR1167101 |
| 32 |
H A Masur,
Y N Minsky, Geometry of the
complex of curves I: Hyperbolicity, Invent. Math. 138
(1999) 103–149 MR1714338 |
| 33 |
H A Masur,
Y N Minsky, Unstable quasi-geodesics in
Teichmüller space, from: "In the tradition of Ahlfors
and Bers (Stony Brook, NY, 1998)", Contemp. Math. 256, Amer.
Math. Soc. (2000) 239–241 MR1759683 |
| 34 |
H A Masur, M
Wolf, Teichmüller space is not Gromov
hyperbolic, Ann. Acad. Sci. Fenn. Ser. A I Math. 20 (1995)
259–267 MR1346811 |
| 35 |
J McCarthy,
A
“Tits-alternative” for subgroups of surface mapping
class groups, Trans. Amer. Math. Soc. 291 (1985)
583–612 MR800253 |
| 36 |
J McCarthy, A
Papadopoulos, Dynamics on Thurston's
sphere of projective measured foliations, Comment.
Math. Helv. 64 (1989) 133–166 MR982564 |
| 37 |
Y N Minsky,
On rigidity,
limit sets, and end invariants of hyperbolic
3–manifolds, J. Amer. Math. Soc. 7 (1994)
539–588 MR1257060 |
| 38 |
Y N Minsky,
Quasi-projections in Teichmüller space, J. Reine
Angew. Math. 473 (1996) 121–136 MR1390685 |
| 39 |
L Mosher, Hyperbolic
extensions of groups, J. Pure Appl. Algebra 110 (1996)
305–314 MR1393118 |
| 40 |
L Mosher, A
hyperbolic-by-hyperbolic hyperbolic group, Proc. Amer.
Math. Soc. 125 (1997) 3447–3455 MR1443845 |
| 41 |
L Mosher, Stable
Teichmüller quasigeodesics and ending laminations,
Geom. Topol. 7 (2003) 33–90 MR1988281 |
| 42 |
D Mumford, A remark on Mahler's
compactness theorem, Proc. Amer. Math. Soc. 28 (1971)
289–294 MR0276410 |
| 43 |
J Nielsen, Untersuchungen zur
Topologie der geschlossenen zweiseitigen Flächen,
Acta Math. 50 (1927) 189–358 MR1555256 |
| 44 |
J P Otal, Le
théorème d'hyperbolisation pour les
variétés fibrées de dimension 3,
Astérisque (1996) MR1402300 |
| 45 |
H L Royden,
Report on the Teichmüller metric, Proc. Nat. Acad.
Sci. U.S.A. 65 (1970) 497–499 MR0259115 |
| 46 |
J R Stallings,
Non-positively curved triangles of groups, from: "Group
theory from a geometrical viewpoint (Trieste, 1990)", World
Sci. Publ., River Edge, NJ (1991) 491–503 MR1170374 |
| 47 |
K Whittlesey,
Normal all
pseudo–Anosov subgroups of mapping class groups,
Geom. Topol. 4 (2000) 293–307 MR1786168 |