Volume 17, issue 3 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Tethers and homology stability for surfaces

Allen Hatcher and Karen Vogtmann

Algebraic & Geometric Topology 17 (2017) 1871–1916
Bibliography
1 V I Arnol’d, The cohomology ring of the group of the colored braid group, Mat. Zametki 5 (1969) 227 MR0242196
2 V I Arnol’d, Certain topological invariants of algebraic functions, Trudy Moskov. Mat. Obšč. 21 (1970) 27 MR0274462
3 S K Boldsen, Improved homological stability for the mapping class group with integral or twisted coefficients, Math. Z. 270 (2012) 297 MR2875835
4 K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
5 R M Charney, Homology stability for GLn of a Dedekind domain, Invent. Math. 56 (1980) 1 MR557579
6 R Charney, M W Davis, Finite K(π,1)s for Artin groups, from: "Prospects in topology" (editor F Quinn), Ann. of Math. Stud. 138, Princeton Univ. Press (1995) 110 MR1368655
7 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
8 S Galatius, O Randal-Williams, Homological stability for moduli spaces of high dimensional manifolds, I, preprint (2014) arXiv:1403.2334
9 J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. 121 (1985) 215 MR786348
10 J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR830043
11 A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
12 A Hatcher, Homological stability for automorphism groups of free groups, Comment. Math. Helv. 70 (1995) 39 MR1314940
13 A Hatcher, K Vogtmann, Cerf theory for graphs, J. London Math. Soc. 58 (1998) 633 MR1678155
14 A Hatcher, K Vogtmann, Homology stability for outer automorphism groups of free groups, Algebr. Geom. Topol. 4 (2004) 1253 MR2113904
15 A Hatcher, K Vogtmann, N Wahl, Erratum to HV2, Algebr. Geom. Topol. 6 (2006) 573 MR2220689
16 A Hatcher, N Wahl, Stabilization for mapping class groups of 3–manifolds, Duke Math. J. 155 (2010) 205 MR2736166
17 W van der Kallen, Homology stability for linear groups, Invent. Math. 60 (1980) 269 MR586429
18 A Putman, S V Sam, Representation stability and finite linear groups, preprint (2014) arXiv:1408.3694
19 D Quillen, Higher algebraic K–theory, I, from: "Algebraic K–theory, I : Higher K–theories" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 85 MR0338129
20 O Randal-Williams, Resolutions of moduli spaces and homological stability, J. Eur. Math. Soc. 18 (2016) 1 MR3438379
21 C P Rourke, B J Sanderson, Δ–sets, I : Homotopy theory, Quart. J. Math. Oxford Ser. 22 (1971) 321 MR0300281
22 K Vogtmann, Homology stability for On,n, Comm. Algebra 7 (1979) 9 MR514863
23 J B Wagoner, Stability for homology of the general linear group of a local ring, Topology 15 (1976) 417 MR0417263
24 N Wahl, Homological stability for the mapping class groups of non-orientable surfaces, Invent. Math. 171 (2008) 389 MR2367024
25 N Wahl, Homological stability for mapping class groups of surfaces, from: "Handbook of moduli, III" (editors G Farkas, I Morrison), Adv. Lect. Math. 26, International Press (2013) 547 MR3135444
26 N Wahl, O Randal-Williams, Homological stability for automorphism groups, preprint (2014) arXiv:1409.3541
27 M Weiss, What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (2005) 185 MR2175298