Braid groups and the group of homeomorphisms of a surface
1970; Cambridge University Press; Volume: 68; Issue: 3 Linguagem: Inglês
10.1017/s0305004100076593
ISSN1469-8064
Autores Tópico(s)Topological and Geometric Data Analysis
ResumoBraid groups on the plane were denned by Artin(1) in 1925. More recently Fox(8) defined braid groups on arbitrary topological spaces, the situation being particularly interesting if the space is a 2-manifold. Presentations of the braid groups on R 2 , S 2 and P 2 can be found in (2), (6) and (13) respectively, and some general results on braid groups of compact 2-manifolds can be found in (7). In section 1 of this paper, we give finite presentations for the braid groups on all closed 2-manifolds except S 2 and P 2 .
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