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

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

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
Multitwists in big mapping class groups

George Domat, Federica Fanoni and Sebastian Hensel

Algebraic & Geometric Topology 25 (2025) 3921–3929
Bibliography
1 J Aramayona, T Ghaswala, A E Kent, A McLeay, J Tao, R R Winarski, Big Torelli groups : generation and commensuration, Groups Geom. Dyn. 13 (2019) 1373 MR4033508
2 J A Behrstock, Asymptotic geometry of the mapping class group and Teichmüller space, Geom. Topol. 10 (2006) 1523 MR2255505
3 M Bestvina, K Bromberg, K Fujiwara, Stable commutator length on mapping class groups, Ann. Inst. Fourier (Grenoble) 66 (2016) 871 MR3494163
4 J S Birman, Mapping class groups and their relationship to braid groups, Comm. Pure Appl. Math. 22 (1969) 213 MR243519
5 T E Brendle, B Farb, Every mapping class group is generated by 6 involutions, J. Algebra 278 (2004) 187 MR2068073
6 D Calegari, L Chen, Normal subgroups of big mapping class groups, Trans. Amer. Math. Soc. Ser. B 9 (2022) 957 MR4498366
7 M Dehn, Die Gruppe der Abbildungsklassen : das arithmetische Feld auf Flächen, Acta Math. 69 (1938) 135 MR1555438
8 G Domat, Big pure mapping class groups are never perfect, Math. Res. Lett. 29 (2022) 691 MR4516036
9 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10 S P Humphries, Generators for the mapping class group, from: "Topology of low-dimensional manifolds", Lecture Notes in Math. 722, Springer (1979) 44 MR547453
11 W B R Lickorish, A finite set of generators for the homeotopy group of a 2–manifold, Proc. Cambridge Philos. Soc. 60 (1964) 769 MR171269
12 J Malestein, J Tao, Self-similar surfaces: involutions and perfection, Michigan Math. J. 74 (2024) 485 MR4767502
13 H A Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
14 P Patel, N G Vlamis, Algebraic and topological properties of big mapping class groups, Algebr. Geom. Topol. 18 (2018) 4109 MR3892241
15 A Putman, Cutting and pasting in the Torelli group, Geom. Topol. 11 (2007) 829 MR2302503
16 P Scott, Subgroups of surface groups are almost geometric, J. Lond. Math. Soc. 17 (1978) 555 MR494062
17 B Wajnryb, Mapping class group of a surface is generated by two elements, Topology 35 (1996) 377 MR1380505