1 |
I R Aitchison,
S Matsumoto, J H Rubinstein, Immersed
incompressible surfaces of small curvature in the figure-8 knot
complement, in preparation |
2 |
I R Aitchison,
J H Rubinstein, An introduction to polyhedral
metrics of nonpositive curvature on 3-manifolds, from:
"Geometry of low-dimensional manifolds, 2 (Durham, 1989)", LMS
Lecture Note Ser. 151, Cambridge Univ. Press (1990)
127–161 MR1171913 |
3 |
I R Aitchison,
J H Rubinstein, Polyhedral
metrics and 3-manifolds which are virtual bundles,
Bull. London Math. Soc. 31 (1999) 90–96 MR1651060 |
4 |
I R Aitchison,
J H Rubinstein, Localising Dehn's
lemma and the loop theorem in 3-manifolds, Math. Proc.
Cambridge Philos. Soc. 137 (2004) 281–292 MR2092060 |
5 |
S Angenent, D
Knopf, An example of neckpinching for Ricci flow on S
n+1, Math. Res. Lett. 11 (2004) 493–518 MR2092903 |
6 |
K A Brakke,
The motion of a surface by its mean curvature,
Mathematical Notes 20, Princeton University Press (1978)
MR485012 |
7 |
R L Bryant,
Surfaces of mean curvature one in hyperbolic space,
Astérisque (1987) 12, 321–347 MR955072
Théorie des variétés minimales et applications
(Palaiseau, 1983–1984) |
8 |
B Chow, R S
Hamilton, The cross curvature flow of 3-manifolds with
negative sectional curvature, Turkish J. Math. 28 (2004)
1–10 MR2055396 |
9 |
B Chow, F Luo,
Combinatorial
Ricci flows on surfaces, J. Differential Geom. 63
(2003) 97–129 MR2015261 |
10 |
J Coffey,
3–manifolds built from injective handlebodies, PhD
thesis, Melbourne University (2006) |
11 |
C B Croke,
Poincaré's problem and the length of the shortest
closed geodesic on a convex hypersurface, J. Differential
Geom. 17 (1982) MR683167 |
12 |
K Ecker, Regularity
theory for mean curvature flow, Progress in Nonlinear
Differential Equations and their Applications 57,
Birkhäuser (2004) MR2024995 |
13 |
Y M Eliashberg,
W P Thurston, Confoliations, University
Lecture Series 13, American Mathematical Society (1998)
MR1483314 |
14 |
C L Epstein,
The hyperbolic Gauss map and quasiconformal reflections,
J. Reine Angew. Math. 372 (1986) 96–135 MR863521 |
15 |
J B Etnyre, K
Honda, On
the nonexistence of tight contact structures, Ann. of
Math. (2) 153 (2001) 749–766 MR1836287 |
16 |
B Foozwell, Haken
4–manifolds, PhD thesis, Melbourne University, in
preparation |
17 |
B Freedman,
M H Freedman, Kneser-Haken
finiteness for bounded 3-manifolds locally free groups, and
cyclic covers, Topology 37 (1998) 133–147
MR1480882 |
18 |
D Gabai, Foliations
and the topology of 3-manifolds, J. Differential Geom. 18
(1983) 445–503 MR723813 |
19 |
D Gabai, The Smale
conjecture for hyperbolic 3-manifolds:
Isom(M3)\simeqDiff(M3), J.
Differential Geom. 58 (2001) 113–149 MR1895350 |
20 |
E Giroux,
Géométrie de contact: de la dimension trois vers
les dimensions supérieures, from: "Proceedings of the
International Congress of Mathematicians, Vol. II (Beijing,
2002)", Higher Ed. Press (2002) 405–414 MR1957051 |
21 |
M Gromov, W
Thurston, Pinching constants for
hyperbolic manifolds, Invent. Math. 89 (1987)
1–12 MR892185 |
22 |
R S Hamilton,
The formation of singularities in the Ricci flow, from:
"Surveys in differential geometry, Vol. II (Cambridge, MA,
1993)", Int. Press, Cambridge, MA (1995) 7–136 MR1375255 |
23 |
J Hass, P
Scott, Curve flows on surfaces and intersections of
curves, from: "Differential geometry: Riemannian geometry
(Los Angeles, CA, 1990)", Proc. Sympos. Pure Math. 54, Amer.
Math. Soc. (1993) 415–421 MR1216633 |
24 |
A Hatcher, Homeomorphisms
of sufficiently large P2-irreducible
3-manifolds, Topology 15 (1976) 343–347 MR0420620 |
25 |
A Hatcher, On the diffeomorphism group
of S1× S2, Proc. Amer. Math.
Soc. 83 (1981) 427–430 MR624946 |
26 |
A Hatcher, A proof of a Smale
conjecture, Diff(S3)≈ O(4), Ann. of
Math. (2) 117 (1983) 553–607 MR701256 |
27 |
K Honda, On the classification
of tight contact structures. I, Geom. Topol. 4 (2000)
309–368 MR1786111 |
28 |
K Honda, On the
classification of tight contact structures. II, J.
Differential Geom. 55 (2000) 83–143 MR1849027 |
29 |
S Hong, D
McCullough, J H Rubinstein, The Smale
conjecture for lens spaces arXiv:math.GT/0411016 |
30 |
N V Ivanov,
Groups of diffeomorphisms of Waldhausen manifolds, Zap.
Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI),
Studies in topology, II, 66 (1976) 172–176, 209 MR0448370 |
31 |
N V Ivanov,
Homotopy of spaces of diffeomorphisms of some
three-dimensional manifolds, Zap. Nauchn. Sem. Leningrad.
Otdel. Mat. Inst. Steklov. (LOMI), Studies in topology, IV, 122
(1982) 72–103, 164–165 MR661467 |
32 |
D Ivanšić,
J G Ratcliffe, S T Tschantz,
Complements
of tori and Klein bottles in the 4-sphere that have hyperbolic
structure, Algebr. Geom. Topol. 5 (2005) 999–1026
MR2171801 |
33 |
W Jaco, J H
Rubinstein, 0-efficient
triangulations of 3-manifolds, J. Differential Geom. 65
(2003) 61–168 MR2057531 |
34 |
W Jaco, J H
Rubinstein, 1-efficient triangulation of
3–manifolds, in preparation MR2057531 |
35 |
J Johnson, J H
Rubinstein, Mapping class groups of Heegaard
splittings arXiv:math.GT/0701119 |
36 |
E Kang, J H
Rubinstein, Ideal
triangulations of 3-manifolds. II. Taut and angle
structures, Algebr. Geom. Topol. 5 (2005)
1505–1533 MR2186107 |
37 |
N Kapouleas,
Complete
constant mean curvature surfaces in Euclidean
three-space, Ann. of Math. (2) 131 (1990) 239–330
MR1043269 |
38 |
K Krasnov, J M
Schlenker, Minimal surfaces
and particles in 3-manifolds, Geom. Dedicata 126 (2007)
187–254 MR2328927 |
39 |
S Kuhlmann,
Geodesic knots in hyperbolic 3–manifolds, PhD
thesis, University of Melbourne (2005) |
40 |
M Lackenby,
Taut ideal
triangulations of 3-manifolds, Geom. Topol. 4 (2000)
369–395 MR1790190 |
41 |
F Luo, Volume and
angle structures on 3–manifolds arXiv:math.GT/0504049 |
42 |
D McCullough,
J H Rubinstein, The generalized Smale conjecture
for 3–manifolds with genus 2 one-sided Heegaard
splittings, preprint |
43 |
Y Moriah, J H
Rubinstein, Heegaard structures of negatively curved
3-manifolds, Comm. Anal. Geom. 5 (1997) 375–412
MR1487722 |
44 |
L Mosher, Geometry of
cubulated 3-manifolds, Topology 34 (1995) 789–814
MR1362788 |
45 |
H Namazi, Big
handlebody distance implies finite mapping class group
arXiv:math.GT/0406551 |
46 |
H Namazi, J
Souto, Heegaard splittings and pseudo-Anosov maps,
in preparation |
47 |
J H Rubinstein,
The polyhedral geometry and topology of
3–manifolds, Lecture Notes in preparation for CBMS
series |
48 |
J H Rubinstein,
Minimal surfaces in geometric 3-manifolds, from: "Global
theory of minimal surfaces" (editor D Hoffman), Clay Math.
Proc. 2, Amer. Math. Soc. (2005) 725–746 MR2167286 |
49 |
J H Rubinstein,
M Sageev, Cubical complexes of non-positive curvature
homotopy equivalent to 3–manifolds, in
preparation |
50 |
J H Rubinstein,
R Sinclair, Visualizing
Ricci flow of manifolds of revolution, Experiment.
Math. 14 (2005) 285–298 MR2172707 |
51 |
M Scharlemann,
Sutured manifolds and generalized Thurston norms, J.
Differential Geom. 29 (1989) 557–614 MR992331 |
52 |
R Schoen, S T
Yau, Existence of incompressible
minimal surfaces and the topology of three-dimensional
manifolds with nonnegative scalar curvature, Ann. of
Math. (2) 110 (1979) 127–142 MR541332 |
53 |
J A Sethian,
Level set methods, Cambridge Monographs on Applied and
Computational Mathematics 3, Cambridge University Press (1996)
MR1409367 |
54 |
M Simon, A class of Riemannian
manifolds that pinch when evolved by Ricci flow,
Manuscripta Math. 101 (2000) 89–114 MR1737226 |
55 |
D Sullivan,
A homological
characterization of foliations consisting of minimal
surfaces, Comment. Math. Helv. 54 (1979) 218–223
MR535056 |
56 |
G A Swarup,
Proof of
a weak hyperbolization theorem, Q. J. Math. 51 (2000)
529–533 MR1806457 |
57 |
C H Taubes,
Minimal surfaces in germs of hyperbolic 3-manifolds,
from: "Proceedings of the Casson Fest", Geom. Topol. Monogr. 7
(2004) 69–100 MR2172479 |
58 |
K K Uhlenbeck,
Closed minimal surfaces in hyperbolic 3-manifolds, from:
"Seminar on minimal submanifolds", Ann. of Math. Stud. 103,
Princeton Univ. Press (1983) 147–168 MR795233 |
59 |
F Waldhausen,
On irreducible
3-manifolds which are sufficiently large, Ann. of Math.
(2) 87 (1968) 56–88 MR0224099 |