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Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. (English) Zbl 0255.57002


MSC:

57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
20F05 Generators, relations, and presentations of groups
30C62 Quasiconformal mappings in the complex plane
57M10 Covering spaces and low-dimensional topology
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References:

[1] Joan S. Birman and Hugh M. Hilden, On the mapping class groups of closed surfaces as covering spaces, Advances in the theory of Riemann surfaces (Proc. Conf., Stony Brook, N.Y., 1969) Princeton Univ. Press, Princeton, N.J., 1971, pp. 81 – 115. Ann. of Math. Studies, No. 66.
[2] A. M. Macbeath, Geometrical realization of isomorphisms between plane groups, Bull. Amer. Math. Soc. 71 (1965), 629 – 630. · Zbl 0137.40102
[3] Wilhelm Magnus, Über Automorphismen von Fundamentalgruppen berandeter Flächen, Math. Ann. 109 (1934), no. 1, 617 – 646 (German). · Zbl 0009.03901
[4] Wilhelm Magnus, Abraham Karrass, and Donald Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience Publishers [John Wiley & Sons, Inc.], New York-London-Sydney, 1966. · Zbl 0138.25604
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