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
Mapping class groups of surfaces with noncompact boundary components

Ryan Dickmann

Algebraic & Geometric Topology 23 (2023) 2777–2821
Bibliography
1 L V Ahlfors, L Sario, Riemann surfaces, 26, Princeton Univ. Press (1960) MR0114911
2 J Aramayona, P Patel, N G Vlamis, The first integral cohomology of pure mapping class groups, Int. Math. Res. Not. 2020 (2020) 8973 MR4216709
3 M Bestvina, K Bromberg, K Fujiwara, Constructing group actions on quasi-trees and applications to mapping class groups, Publ. Math. Inst. Hautes Études Sci. 122 (2015) 1 MR3415065
4 M Bestvina, K Bromberg, K Fujiwara, Proper actions on finite products of quasi-trees, Ann. H. Lebesgue 4 (2021) 685 MR4315766
5 R Brooks, Some remarks on bounded cohomology, from: "Riemann surfaces and related topics : proceedings of the 1978 Stony Brook conference" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 53 MR624804
6 E M Brown, R Messer, The classification of two-dimensional manifolds, Trans. Amer. Math. Soc. 255 (1979) 377 MR542887
7 D Calegari, Big mapping class groups and dynamics, blog post (2009)
8 G Domat, Big pure mapping class groups are never perfect, Math. Res. Lett. 29 (2022) 691 MR4516036
9 R D Edwards, R C Kirby, Deformations of spaces of imbeddings, Ann. of Math. 93 (1971) 63 MR283802
10 P Fabel, The mapping class group of a disk with infinitely many holes, J. Knot Theory Ramifications 15 (2006) 21 MR2204494
11 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
12 J Hernández Hernández, I Morales, F Valdez, The Alexander method for infinite-type surfaces, Michigan Math. J. 68 (2019) 743 MR4029627
13 B Kerékjártó, Vorlesungen uber Topologie, 8, Springer (1923)
14 K Mann, Automatic continuity for homeomorphism groups and applications, Geom. Topol. 20 (2016) 3033 MR3556355
15 K Mann, K Rafi, Large scale geometry of big mapping class groups, preprint (2019) arXiv:1912.10914
16 O Ore, Some remarks on commutators, Proc. Amer. Math. Soc. 2 (1951) 307
17 P Patel, N G Vlamis, Algebraic and topological properties of big mapping class groups, Algebr. Geom. Topol. 18 (2018) 4109 MR3892241
18 J Powell, Two theorems on the mapping class group of a surface, Proc. Amer. Math. Soc. 68 (1978) 347 MR494115
19 A O Prishlyak, K I Mischenko, Classification of noncompact surfaces with boundary, Methods Funct. Anal. Topology 13 (2007) 62 MR2308580
20 I Richards, On the classification of noncompact surfaces, Trans. Amer. Math. Soc. 106 (1963) 259 MR143186