×

Errata: Presentations of the mapping class group. (English) Zbl 0811.57019

In [Isr. J. Math. 45, 157-174 (1983; Zbl 0533.57002)] the second author gave a presentation for the mapping class group \(M_{n,k}\) of an orientable surface \(F_{n,k}\) of genus \(n\geq 1\) with \(k=0\) or 1 boundary components. The statement of Theorem 2 in that paper contains an error. In this note we correct the error. At the same time we correct inaccuracies in [the authors, Lect. Notes Math. 1167, 24-46 (1985; Zbl 0589.57009)], which studied the same circle of ideas and made use of results from the paper cited at the beginning.

MSC:

57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
57M05 Fundamental group, presentations, free differential calculus
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
20F05 Generators, relations, and presentations of groups
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] [B] J. S. Birman,Mapping class groups of surfaces, inBraids, Contemporary Mathematics78 (1988), 13-43.
[2] [BW] J. S. Birman and B. Wajnryb,3-Fold branched coverings and the mapping class group of a surface, inGeometry and Topology, Springer-Verlag Lecture Notes1167 (1985), 24-43.
[3] Wajnryb, B., A simple presentation of the mapping class group of an orientable surface, Israel Journal of Mathematics, 45, 157-174 (1983) · Zbl 0533.57002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.