Recent Issues
Volume 30, 3 issues
Volume 30
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388
Volume 29, 9 issues
Volume 29
Issue 9, 4477–4945
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
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
M F Atiyah , R
Bott , The Yang–Mills
equations over Riemann surfaces , Philos. Trans. Roy.
Soc. London Ser. A 308 (1983) 523 MR702806
2
S K Boldsen ,
Improved
homological stability for the mapping class group with integral
or twisted coefficients , Math. Z. 270 (2012) 297
MR2875835
3
K S Brown ,
Cohomology of
groups , 87, Springer (1982) MR672956
4
P Deligne , Théorie de Hodge,
II , Inst. Hautes Études Sci. Publ. Math. 40 (1971) 5
MR498551
5
P Deligne , Théorie de Hodge,
III , Inst. Hautes Études Sci. Publ. Math. 44 (1974) 5
MR498552
6
H Esnault , M
Groechenig , Cohomologically
rigid local systems and integrality , Selecta Math. 24
(2018) 4279 MR3874695
7
S Galatius ,
Lectures on
the Madsen–Weiss theorem , from: "Moduli spaces of
Riemann surfaces" (editors B Farb, R Hain, E Looijenga),
IAS/Park City Math. Ser. 20, Amer. Math. Soc. (2013) 139
MR3114684
8
P Griffiths , W
Schmid , Recent developments in Hodge theory : a
discussion of techniques and results , from: "Discrete
subgroups of Lie groups and applications to moduli", Tata Inst.
Fundam. Res. Stud. Math. 7, Oxford Univ. Press (1975) 31
MR419850
9
J L Harer ,
Stability of the
homology of the mapping class groups of orientable
surfaces , Ann. of Math. 121 (1985) 215 MR786348
10
A Hatcher , A short
exposition of the Madsen–Weiss theorem , preprint (2011)
arXiv:1103.5223
11
G Hochschild ,
J P Serre , Cohomology of group
extensions , Trans. Amer. Math. Soc. 74 (1953) 110
MR52438
12
N V Ivanov ,
Stabilization of the homology of Teichmüller modular
groups , Algebra i Analiz 1 (1989) 110 MR1015128
13
N Kawazumi ,
On the
stable cohomology algebra of extended mapping class groups for
surfaces , 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)
383 MR2509717
14
C Klevdal , S
Patrikis , G-rigid local systems are integral ,
preprint (2020) arXiv:2009.07350
15
A Kupers , O
Randal-Williams , On the cohomology of
Torelli groups , Forum Math. Pi 8 (2020) 83 MR4089394
16
E Looijenga , Stable
cohomology of the mapping class group with symplectic
coefficients and of the universal Abel–Jacobi map , J.
Algebraic Geom. 5 (1996) 135 MR1358038
17
E Looijenga ,
Prym
representations of mapping class groups , Geom. Dedicata
64 (1997) 69 MR1432535
18
A Lubotzky ,
A R Magid , Varieties of
representations of finitely generated groups , 336,
Amer. Math. Soc. (1985) MR818915
19
I Madsen , M
Weiss , The stable moduli
space of Riemann surfaces : Mumford’s conjecture , Ann.
of Math. 165 (2007) 843 MR2335797
20
E Y Miller ,
The
homology of the mapping class group , J. Differential
Geom. 24 (1986) 1 MR857372
21
S Morita , Characteristic classes of
surface bundles , Invent. Math. 90 (1987) 551 MR914849
22
D Mumford , Towards an
enumerative geometry of the moduli space of curves ,
from: "Arithmetic and geometry, II" (editors M Artin, J Tate),
Progr. Math. 36, Birkhäuser (1983) 271 MR717614
23
D Mumford , J
Fogarty , F Kirwan , Geometric invariant
theory , 34, Springer (1994) MR1304906
24
B Perron , Filtration de
Johnson et groupe de Torelli modulo p , p
premier , C. R. Math. Acad. Sci. Paris 346 (2008) 667
MR2423275
25
C A M
Peters , J H M Steenbrink , Mixed Hodge
structures , 52, Springer (2008) MR2393625
26
A Putman , The Picard group of
the moduli space of curves with level structures , Duke
Math. J. 161 (2012) 623 MR2891531
27
A Putman ,
The action on homology of finite groups of automorphisms of
surfaces and graphs , notes (2014)
28
A Putman , The
stable cohomology of the moduli space of curves with level
structures , preprint (2022) arXiv:2209.06183
29
A Putman , Partial Torelli
groups and homological stability , Algebr. Geom. Topol.
23 (2023) 3417 MR4665274
30
O Randal-Williams ,
Resolutions of
moduli spaces and homological stability , J. Eur. Math.
Soc. (JEMS) 18 (2016) 1 MR3438379
31
O Randal-Williams ,
Cohomology of
automorphism groups of free groups with twisted
coefficients , Selecta Math. 24 (2018) 1453 MR3782426
32
M Sato , The abelianization of
the level d mapping class
group , J. Topol. 3 (2010) 847 MR2746340
33
N Wahl , The Mumford conjecture,
Madsen–Weiss and homological stability for mapping class groups
of surfaces , from: "Moduli spaces of Riemann surfaces"
(editors B Farb, R Hain, E Looijenga), IAS/Park City Math. Ser.
20, Amer. Math. Soc. (2013) 109 MR3114683
34
A Weil , Remarks on the cohomology of
groups , Ann. of Math. 80 (1964) 149 MR169956