Recent Issues
Volume 24, 5 issues
Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
M Asada , H
Nakamura , On graded quotient modules
of mapping class groups of surfaces , Israel J. Math. 90
(1995) 93 MR1336318
2
J S Birman ,
On the
equivalence of Heegaard splittings of closed, orientable
3 –manifolds , from: "Knots,
groups, and 3 –manifolds" (editor
L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ.
Press (1975) 137 MR0375318
3
W Fulton , J
Harris , Representation
theory , 129, Springer (1991) MR1153249
4
R Hain , Relative weight
filtrations on completions of mapping class groups ,
from: "Groups of diffeomorphisms" (editors R Penner, D
Kotschick, T Tsuboi, N Kawazumi, T Kitano, Y Mitsumatsu), Adv.
Stud. Pure Math. 52, Math. Soc. Japan (2008) 309 MR2509715
5
S Hensel , A primer
on handlebody groups , from: "Handbook of group actions, V"
(editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math.
48, International (2020) 143 MR4237892
6
S Hirose , The
action of the handlebody group on the first homology group of
the surface , Kyungpook Math. J. 46 (2006) 399 MR2261393
7
D Johnson , An abelian quotient of the
mapping class group ℐ g , Math. Ann. 249 (1980) 225
MR579103
8
D Johnson , Quadratic forms and the
Birman–Craggs homomorphisms , Trans. Amer. Math. Soc.
261 (1980) 235 MR576873
9
D Johnson , A survey of the
Torelli group , from: "Low-dimensional topology" (editor
S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc.
(1983) 165 MR718141
10
D Johnson , The structure of
the Torelli group, II : A characterization of the group
generated by twists on bounding curves , Topology 24
(1985) 113 MR793178
11
D Johnson , The structure of
the Torelli group, III : The abelianization of ℐ , Topology 24 (1985) 127 MR793179
12
J B Jorgensen ,
Surface
homeomorphisms that do not extend to any handlebody and the
Johnson filtration , PhD thesis, Rice University (2008)
MR2711637
13
J Levine , Labeled binary planar
trees and quasi-Lie algebras , Algebr. Geom. Topol. 6
(2006) 935 MR2240921
14
J Levine , The Lagrangian
filtration of the mapping class group and finite-type
invariants of homology spheres , Math. Proc. Cambridge
Philos. Soc. 141 (2006) 303 MR2265877
15
G Massuyeau ,
J B Meilhan , Equivalence
relations for homology cylinders and the core of the Casson
invariant , Trans. Amer. Math. Soc. 365 (2013) 5431
MR3074379
16
S V Matveev ,
Generalized surgeries
of three-dimensional manifolds and representations of homology
spheres , Mat. Zametki 42 (1987) 268, 345 MR915115
17
S Morita , Casson’s
invariant for homology 3 –spheres
and characteristic classes of surface bundles, I ,
Topology 28 (1989) 305 MR1014464
18
S Morita , On the structure
of the Torelli group and the Casson invariant , Topology
30 (1991) 603 MR1133875
19
S Morita , Abelian
quotients of subgroups of the mapping class group of
surfaces , Duke Math. J. 70 (1993) 699 MR1224104
20
G Omori , A small normal
generating set for the handlebody subgroup of the Torelli
group , Geom. Dedicata 201 (2019) 353 MR3978548
21
W Pitsch , Integral
homology 3 –spheres and the Johnson
filtration , Trans. Amer. Math. Soc. 360 (2008) 2825
MR2379777
22
W Pitsch , Trivial cocycles
and invariants of homology 3 –spheres , Adv. Math. 220 (2009) 278
MR2462841
23
K Reidemeister ,
Zur
dreidimensionalen Topologie , Abh. Math. Sem. Univ.
Hamburg 9 (1933) 189 MR3069596
24
J Singer , Three-dimensional manifolds
and their Heegaard diagrams , Trans. Amer. Math. Soc. 35
(1933) 88 MR1501673
25
S Suzuki , On homeomorphisms of a
3 –dimensional handlebody ,
Canadian J. Math. 29 (1977) 111 MR433433
26
A Vera , Alternative versions
of the Johnson homomorphisms and the LMO functor ,
Algebr. Geom. Topol. 22 (2022) 3627 MR4562556
27
Y Yokomizo ,
An
Sp (2 g ; ℤ 2 ) –module
structure of the cokernel of the second Johnson
homomorphism , Topology Appl. 120 (2002) 385 MR1897269