Recent Issues
Volume 28, 7 issues
Volume 28
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
C C Adams ,
Waist size for
cusps in hyperbolic 3 –manifolds , Topology 41 (2002) 257
MR1876890
2
I Agol , Bounds on exceptional
Dehn filling , Geom. Topol. 4 (2000) 431 MR1799796
3
I Agol , Volume change under
drilling , Geom. Topol. 6 (2002) 905 MR1943385
4
I Agol , Tameness of
hyperbolic 3 –manifolds ,
preprint (2004) arXiv:math/0405568
5
M Baker , D
Cooper , A combination theorem
for convex hyperbolic manifolds, with applications to surfaces
in 3 –manifolds , J. Topol. 1
(2008) 603 MR2417445
6
S A Bleiler ,
C D Hodgson , J R Weeks , Cosmetic surgery on
knots , from: "Proceedings of the Kirbyfest" (editors J
Hass, M Scharlemann), Geom. Topol. Monogr. 2, Geom. Topol.
Publ. (1999) 23 MR1734400
7
J Boland , C
Connell , J Souto , Volume rigidity for
finite volume manifolds , Amer. J. Math. 127 (2005) 535
MR2141643
8
K Böröczky ,
Packing of
spheres in spaces of constant curvature , Acta Math.
Acad. Sci. Hungar. 32 (1978) 243 MR512399
9
S Boyer , D
Lines , Surgery formulae
for Casson’s invariant and extensions to homology lens
spaces , J. Reine Angew. Math. 405 (1990) 181 MR1041002
10
M R Bridson , A
Haefliger , Metric spaces of
non-positive curvature , 319, Springer (1999) MR1744486
11
J F Brock ,
K W Bromberg , On the density of
geometrically finite Kleinian groups , Acta Math. 192
(2004) 33 MR2079598
12
J F Brock ,
K W Bromberg , Inflexibility,
Weil–Peterson distance, and volumes of fibered 3 –manifolds , Math. Res. Lett. 23 (2016)
649 MR3533189
13
J F Brock ,
R D Canary , Y N Minsky , The
classification of Kleinian surface groups, II : The ending
lamination conjecture , Ann. of Math. 176 (2012) 1
MR2925381
14
K Bromberg ,
Hyperbolic
cone-manifolds, short geodesics, and Schwarzian
derivatives , J. Amer. Math. Soc. 17 (2004) 783 MR2083468
15
K Bromberg ,
Projective
structures with degenerate holonomy and the Bers density
conjecture , Ann. of Math. 166 (2007) 77 MR2342691
16
K Bromberg ,
The
space of Kleinian punctured torus groups is not locally
connected , Duke Math. J. 156 (2011) 387 MR2772066
17
D Calegari , D
Gabai , Shrinkwrapping
and the taming of hyperbolic 3 –manifolds , J. Amer. Math. Soc. 19
(2006) 385 MR2188131
18
D Cooper , D
Futer , J S Purcell , Dehn filling and the
geometry of unknotting tunnels , Geom. Topol. 17 (2013)
1815 MR3073937
19
M Culler , P B
Shalen , Paradoxical decompositions,
2 –generator Kleinian groups, and
volumes of hyperbolic 3 –manifolds , J. Amer. Math. Soc. 5
(1992) 231 MR1135928
20
M Culler , P B
Shalen , Margulis numbers
for Haken manifolds , Israel J. Math. 190 (2012) 445
MR2956250
21
R Detcherry , A
quantum obstruction to purely cosmetic surgeries , preprint
(2021) arXiv:2102.11323
22
D Futer , E
Kalfagianni , J S Purcell , Dehn filling,
volume, and the Jones polynomial , J. Differential Geom.
78 (2008) 429 MR2396249
23
D Futer , J S
Purcell , S Schleimer , Excluding cosmetic
surgeries using hyperbolic geometry , in preparation
24
D Futer , J S
Purcell , S Schleimer , Effective distance between
nested Margulis tubes , Trans. Amer. Math. Soc. 372
(2019) 4211 MR4009389
25
D Futer , J S
Purcell , S Schleimer , Effective drilling and
filling of tame hyperbolic 3 –manifolds , preprint (2021) arXiv:2104.09983
26
D Gabai , On the
geometric and topological rigidity of hyperbolic 3 –manifolds , J. Amer. Math. Soc. 10
(1997) 37 MR1354958
27
D Gabai , G R
Meyerhoff , N Thurston , Homotopy
hyperbolic 3 –manifolds are
hyperbolic , Ann. of Math. 157 (2003) 335 MR1973051
28
C M Gordon ,
Dehn surgery on knots , from: "Proceedings of the
International Congress of Mathematicians, I" (editor I Satake),
Math. Soc. Japan (1991) 631 MR1159250
29
J Hanselman ,
Heegaard Floer
homology and cosmetic surgeries in S 3 , J. Eur. Math. Soc. (2022)
30
C D Hodgson ,
S P Kerckhoff , Rigidity of
hyperbolic cone-manifolds and hyperbolic Dehn surgery ,
J. Differential Geom. 48 (1998) 1 MR1622600
31
C D Hodgson ,
S P Kerckhoff , Harmonic
deformations of hyperbolic 3 –manifolds , from: "Kleinian groups and
hyperbolic 3 –manifolds" (editors Y
Komori, V Markovic, C Series), Lond. Math. Soc. Lect. Note Ser.
299, Cambridge Univ. Press (2003) 41 MR2044544
32
C D Hodgson ,
S P Kerckhoff , Universal bounds
for hyperbolic Dehn surgery , Ann. of Math. 162 (2005)
367 MR2178964
33
C D Hodgson ,
S P Kerckhoff , The shape of
hyperbolic Dehn surgery space , Geom. Topol. 12 (2008)
1033 MR2403805
34
J Hoste , M
Thistlethwaite , J Weeks , The first 1701936 knots , Math. Intelligencer 20
(1998) 33 MR1646740
35
K Ichihara ,
I D Jong , Cosmetic
banding on knots and links , Osaka J. Math. 55 (2018)
731 MR3862782
36
K Ichihara , Z
Wu , A note on Jones
polynomial and cosmetic surgery , Comm. Anal. Geom. 27
(2019) 1087 MR4037376
37
B Jeon , The
Zilber–Pink conjecture and the generalized cosmetic surgery
conjecture , preprint (2018) arXiv:1801.07819
38
R Kirby , Problems in
low-dimensional topology , from: "Geometric topology",
AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
39
T Kobayashi , Y
Rieck , A linear bound on the
tetrahedral number of manifolds of bounded volume ( after Jørgensen and Thurston) , from: "Topology and geometry in
dimension three" (editors W Li, L Bartolini, J Johnson, F Luo,
R Myers, J H Rubinstein), Contemp. Math. 560, Amer. Math.
Soc. (2011) 27 MR2866921
40
M Lackenby ,
Word
hyperbolic Dehn surgery , Invent. Math. 140 (2000) 243
MR1756996
41
W B R
Lickorish , A
representation of orientable combinatorial 3 –manifolds , Ann. of Math. 76 (1962)
531 MR151948
42
A D Magid ,
Deformation spaces of
Kleinian surface groups are not locally connected ,
Geom. Topol. 16 (2012) 1247 MR2967052
43
R Meyerhoff ,
A lower
bound for the volume of hyperbolic 3 –manifolds , Canad. J. Math. 39 (1987)
1038 MR918586
44
Y N Minsky ,
The classification
of punctured-torus groups , Ann. of Math. 149 (1999) 559
MR1689341
45
Y Minsky , The classification
of Kleinian surface groups, I : Models and bounds , Ann.
of Math. 171 (2010) 1 MR2630036
46
H Namazi , J
Souto , Non-realizability
and ending laminations: proof of the density
conjecture , Acta Math. 209 (2012) 323 MR3001608
47
W D Neumann , D
Zagier , Volumes of
hyperbolic three-manifolds , Topology 24 (1985) 307
MR815482
48
Y Ni , Z Wu ,
Cosmetic
surgeries on knots in S 3 , J. Reine Angew. Math. 706
(2015) 1 MR3393360
49
K Ohshika , Kleinian groups which are
limits of geometrically finite groups , 834, Amer. Math.
Soc. (2005) MR2154090
50
K Ohshika , Realising end
invariants by limits of minimally parabolic, geometrically
finite groups , Geom. Topol. 15 (2011) 827 MR2821565
51
J S Purcell ,
Volumes of
highly twisted knots and links , Algebr. Geom. Topol. 7
(2007) 93 MR2289805
52
J S Purcell ,
Cusp shapes
under cone deformation , J. Differential Geom. 80 (2008)
453 MR2472480
53
J S Purcell , J
Souto , Geometric limits of
knot complements , J. Topol. 3 (2010) 759 MR2746337
54
J G Ratcliffe ,
Foundations of
hyperbolic manifolds , 149, Springer (1994) MR1299730
55
P B Shalen ,
A generic
Margulis number for hyperbolic 3 –manifolds , from: "Topology and
geometry in dimension three" (editors W Li, L Bartolini, J
Johnson, F Luo, R Myers, J H Rubinstein), Contemp. Math.
560, Amer. Math. Soc. (2011) 103 MR2866926
56
P B Shalen ,
Small optimal
Margulis numbers force upper volume bounds , Trans.
Amer. Math. Soc. 365 (2013) 973 MR2995380
57
T Soma , Existence of ruled
wrappings in hyperbolic 3 –manifolds , Geom. Topol. 10 (2006)
1173 MR2255495
58
W Thurston ,
Geometry and
topology of three-manifolds , lecture notes (1980)
59
A H Wallace ,
Modifications and
cobounding manifolds , Canad. J. Math. 12 (1960) 503
MR125588