Recent Issues
Volume 28, 2 issues
Volume 28
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
V I Arnold ,
Braids of algebraic
functions and cohomologies of swallowtails , Uspehi Mat.
Nauk 23 (1968) 247 MR0231828
2
V I Arnold ,
The cohomology ring of
the colored braid group , Mat. Zametki 5 (1969) 227
MR0242196
3
C Berger , I
Moerdijk , Resolution of coloured
operads and rectification of homotopy algebras , from:
"Categories in algebra, geometry and mathematical physics"
(editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman),
Contemp. Math. 431, Amer. Math. Soc. (2007) 31 MR2342815
4
S Betley , Twisted
homology of symmetric groups , Proc. Amer. Math. Soc.
130 (2002) 3439 MR1918818
5
E Binz , H R
Fischer , The manifold of
embeddings of a closed manifold , from: "Differential
geometric methods in mathematical physics" (editor H D
Doebner), Lecture Notes in Phys. 139, Springer (1981) 310
MR613004
6
J M Boardman ,
R M Vogt , Homotopy invariant
algebraic structures on topological spaces , 347,
Springer (1973) MR0420609
7
C F Bödigheimer ,
F R Cohen , R J Milgram , Truncated symmetric
products and configuration spaces , Math. Z. 214 (1993)
179 MR1240884
8
C F Bödigheimer ,
F Cohen , L Taylor , On the homology
of configuration spaces , Topology 28 (1989) 111
MR991102
9
S K Boldsen ,
Improved
homological stability for the mapping class group with integral
or twisted coefficients , Math. Z. 270 (2012) 297
MR2875835
10
F Cantero , M
Palmer , On
homological stability for configuration spaces on closed
background manifolds , Doc. Math. 188 (2015) 753
MR3398727
11
K Casto ,
FI G –modules, orbit configuration spaces,
and complex reflection groups , preprint (2016) arXiv:1608.06317
12
T Church , Homological
stability for configuration spaces of manifolds ,
Invent. Math. 188 (2012) 465 MR2909770
13
T Church , J S
Ellenberg , Homology of
FI–modules , Geom. Topol. 21 (2017) 2373 MR3654111
14
T Church , J S
Ellenberg , B Farb , FI–modules and
stability for representations of symmetric groups , Duke
Math. J. 164 (2015) 1833 MR3357185
15
T Church , J S
Ellenberg , B Farb , R Nagpal , FI–modules over
Noetherian rings , Geom. Topol. 18 (2014) 2951 MR3285226
16
T Church , B
Farb , Representation
theory and homological stability , Adv. Math. 245 (2013)
250 MR3084430
17
R L Cohen , I
Madsen , Surfaces in a
background space and the homology of mapping class
groups , from: "Algebraic geometry, I: Seattle 2005"
(editors D Abramovich, A Bertram, L Katzarkov, R Pandharipande,
M Thaddeus), Proc. Sympos. Pure Math. 80, Amer. Math. Soc.
(2009) 43 MR2483932
18
D Crowley , J
Sixt , Stably diffeomorphic
manifolds and l 2 q +1 ( ℤ [ π ]) , Forum Math. 23 (2011) 483 MR2805192
19
R De Sapio ,
On
( k − 1) –connected (2 k + 1) –manifolds , Math. Scand. 25 (1970)
181 MR0261614
20
W G Dwyer ,
Twisted
homological stability for general linear groups , Ann.
of Math. 111 (1980) 239 MR569072
21
C J Earle , J
Eells , The
diffeomorphism group of a compact Riemann surface ,
Bull. Amer. Math. Soc. 73 (1967) 557 MR212840
22
J Ebert , O
Randal-Williams , Semisimplicial
spaces , Algebr. Geom. Topol. 19 (2019) 2099
23
Z Fiedorowicz , M
Stelzer , R M Vogt , Homotopy colimits
of algebras over 𝒞 at –operads and iterated loop spaces ,
Adv. Math. 248 (2013) 1089 MR3107537
24
B Fresse , Homotopy of operads and
Grothendieck–Teichmüller groups, I : The algebraic theory and
its topological background , 217, Amer. Math. Soc.
(2017) MR3643404
25
N Friedrich ,
Homological
stability of automorphism groups of quadratic modules and
manifolds , Doc. Math. 22 (2017) 1729 MR3760514
26
W Fulton , J
Harris , Representation
theory , 129, Springer (1991) MR1153249
27
S Galatius , O
Randal-Williams , Homological
stability for moduli spaces of high dimensional manifolds,
II , Ann. of Math. 186 (2017) 127 MR3665002
28
S Galatius , O
Randal-Williams , Homological stability for
moduli spaces of high dimensional manifolds, I , J.
Amer. Math. Soc. 31 (2018) 215 MR3718454
29
W L Gan , L
Li , Coinduction functor in
representation stability theory , J. Lond. Math. Soc. 92
(2015) 689 MR3431657
30
G Gandini , N
Wahl , Homological
stability for automorphism groups of RAAGs , Algebr.
Geom. Topol. 16 (2016) 2421 MR3546470
31
A Gramain , Le type
d’homotopie du groupe des difféomorphismes d’une surface
compacte , Ann. Sci. École Norm. Sup. 6 (1973) 53
MR0326773
32
D Grayson , Higher algebraic
K –theory, II (after Daniel
Quillen) , from: "Algebraic K –theory" (editors A Dold, B Eckmann), Lecture
Notes in Math. 551, Springer (1976) 217 MR0574096
33
M A Guest , A
Kozlowsky , K Yamaguchi , Homological stability
of oriented configuration spaces , J. Math. Kyoto Univ.
36 (1996) 809 MR1443749
34
J L Harer ,
Stability of the
homology of the mapping class groups of orientable
surfaces , Ann. of Math. 121 (1985) 215 MR786348
35
A Hatcher , K
Vogtmann , Tethers and homology
stability for surfaces , Algebr. Geom. Topol. 17 (2017)
1871 MR3677942
36
A Hatcher , N
Wahl , Stabilization for
mapping class groups of 3 –manifolds , Duke Math. J. 155 (2010)
205 MR2736166
37
R Hepworth ,
Homological
stability for families of Coxeter groups , Algebr. Geom.
Topol. 16 (2016) 2779 MR3572348
38
N V Ivanov ,
On the
homology stability for Teichmüller modular groups : closed
surfaces and twisted coefficients , from: "Mapping class
groups and moduli spaces of Riemann surfaces" (editors C F
Bödigheimer, R M Hain), Contemp. Math. 150, Amer. Math.
Soc. (1993) 149 MR1234264
39
R Jimenez Rolland ,
Representation
stability for the cohomology of the moduli
space ℳ g n , Algebr. Geom. Topol. 11 (2011)
3011 MR2869450
40
R Jiménez Rolland ,
On the
cohomology of pure mapping class groups as FI–modules ,
J. Homotopy Relat. Struct. 10 (2015) 401 MR3385692
41
W van der Kallen ,
Homology
stability for linear groups , Invent. Math. 60 (1980)
269 MR586429
42
A Kupers , Proving
homological stability for homeomorphisms of manifolds ,
preprint (2015) arXiv:1510.02456
43
A Kupers , J
Miller , E n –cell
attachments and a local-to-global principle for homological
stability , Math. Ann. 370 (2018) 209 MR3747486
44
J P May ,
The geometry of
iterated loop spaces , 271, Springer (1972) MR0420610
45
J P May , J
Sigurdsson , Parametrized homotopy
theory , 132, Amer. Math. Soc. (2006) MR2271789
46
D McDuff , Configuration
spaces of positive and negative particles , Topology 14
(1975) 91 MR0358766
47
J Miller , M
Palmer , A
twisted homology fibration criterion and the twisted
group-completion theorem , Q. J. Math. 66 (2015) 265
MR3356291
48
J Miller ,
J C H Wilson , Higher-order
representation stability and ordered configuration spaces of
manifolds , Geom. Topol. 23 (2019) 2519
49
B Mirzaii , W van
der Kallen , Homology
stability for unitary groups , Doc. Math. 7 (2002) 143
MR1911214
50
R S Palais ,
Local
triviality of the restriction map for embeddings ,
Comment. Math. Helv. 34 (1960) 305 MR0123338
51
M Palmer , Homological
stability for oriented configuration spaces , Trans.
Amer. Math. Soc. 365 (2013) 3675 MR3042599
52
M Palmer , Twisted
homological stability for configuration spaces ,
Homology Homotopy Appl. 20 (2018) 145 MR3806572
53
P Patzt , X Wu ,
Stability
results for Houghton groups , Algebr. Geom. Topol. 16
(2016) 2365 MR3546468
54
N Perlmutter ,
Homological
stability for the moduli spaces of products of spheres ,
Trans. Amer. Math. Soc. 368 (2016) 5197 MR3456177
55
N Perlmutter ,
Linking
forms and stabilization of diffeomorphism groups of manifolds
of dimension 4 n + 1 , J.
Topol. 9 (2016) 552 MR3509973
56
D Petersen ,
A spectral
sequence for stratified spaces and configuration spaces of
points , Geom. Topol. 21 (2017) 2527 MR3654116
57
E Ramos , On the
degree-wise coherence of FI G –modules , New York J. Math. 23
(2017) 873 MR3690235
58
O Randal-Williams ,
Homological
stability for unordered configuration spaces , Q. J.
Math. 64 (2013) 303 MR3032101
59
O Randal-Williams ,
Resolutions of
moduli spaces and homological stability , J. Eur. Math.
Soc. 18 (2016) 1 MR3438379
60
O Randal-Williams ,
Cohomology of
automorphism groups of free groups with twisted
coefficients , Selecta Math. 24 (2018) 1453 MR3782426
61
O Randal-Williams ,
N Wahl , Homological
stability for automorphism groups , Adv. Math. 318
(2017) 534 MR3689750
62
E Riehl , Categorical homotopy
theory , 24, Cambridge Univ. Press (2014) MR3221774
63
S V Sam , A
Snowden , Representations of
categories of G –maps , J.
Reine Angew. Math. 750 (2019) 197 MR3943321
64
C Schlichtkrull , M
Solberg , Braided injections and
double loop spaces , Trans. Amer. Math. Soc. 368 (2016)
7305 MR3471092
65
G Segal , Configuration-spaces and
iterated loop-spaces , Invent. Math. 21 (1973) 213
MR0331377
66
G Segal , Categories and
cohomology theories , Topology 13 (1974) 293 MR0353298
67
G Segal , The topology of spaces of
rational functions , Acta Math. 143 (1979) 39
68
A Soulié , The
Long–Moody construction and polynomial functors , Ann.
Inst. Fourier (Grenoble) (2019)
69
M Szymik , N
Wahl , The homology of
the Higman–Thompson groups , Invent. Math. 216 (2019)
445 MR3953508
70
U Tillmann ,
Homology
stability for symmetric diffeomorphism and mapping class
groups , Math. Proc. Cambridge Philos. Soc. 160 (2016)
121 MR3432333
71
P Tosteson , Lattice
spectral sequences and cohomology of configuration spaces ,
preprint (2016) arXiv:1612.06034
72
B Totaro , Configuration
spaces of algebraic varieties , Topology 35 (1996) 1057
MR1404924
73
A A Voronov ,
The
Swiss-cheese operad , from: "Homotopy invariant
algebraic structures" (editors J P Meyer, J Morava,
W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999)
365 MR1718089
74
N Wahl , Homological
stability for the mapping class groups of non-orientable
surfaces , Invent. Math. 171 (2008) 389 MR2367024
75
C T C Wall ,
Classification
problems in differential topology, VI : Classification of
( s − 1) –connected (2 s + 1) –manifolds , Topology 6 (1967) 273
MR0216510
76
G W Whitehead ,
Elements
of homotopy theory , 61, Springer (1978) MR516508