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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