Volume 23, issue 7 (2019)

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

Volume 26
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
On the nonrealizability of braid groups by homeomorphisms

Lei Chen

Geometry & Topology 23 (2019) 3735–3749
Bibliography
1 M Bestvina, T Church, J Souto, Some groups of mapping classes not realized by diffeomorphisms, Comment. Math. Helv. 88 (2013) 205 MR3008918
2 J S Birman, H M Hilden, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. 97 (1973) 424 MR325959
3 L E J Brouwer, Über die periodischen Transformationen der Kugel, Math. Ann. 80 (1919) 39 MR1511946
4 L Chen, N Salter, Section problems for configurations of points on the Riemann sphere, preprint (2018) arXiv:1807.10171
5 A Constantin, B Kolev, The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere, Enseign. Math. 40 (1994) 193 MR1309126
6 S. Eilenberg, Sur les transformations périodiques de la surface de sphere, Fund. Math. 22 (1934) 28
7 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
8 J Franks, M Handel, Global fixed points for centralizers and Morita’s theorem, Geom. Topol. 13 (2009) 87 MR2469514
9 S P Kerckhoff, The Nielsen realization problem, Ann. of Math. 117 (1983) 235 MR690845
10 B von Kerékjártó, Über die periodischen Transformationen der Kreisscheibe und der Kugelfläche, Math. Ann. 80 (1919) 36 MR1511945
11 K Mann, B Tshishiku, Realization problems for diffeomorphism groups, from: "Breadth in contemporary topology" (editors D T Gay, W Wu), Proc. Sympos. Pure Math. 102, Amer. Math. Soc. (2019) 131 MR3967366
12 V Markovic, Realization of the mapping class group by homeomorphisms, Invent. Math. 168 (2007) 523 MR2299561
13 V Markovic, D Saric, The mapping class group cannot be realized by homeomorphisms, preprint (2008) arXiv:0807.0182
14 S Morita, Characteristic classes of surface bundles, Invent. Math. 90 (1987) 551 MR914849
15 N Salter, B Tshishiku, On the non-realizability of braid groups by diffeomorphisms, Bull. Lond. Math. Soc. 48 (2016) 457 MR3509906