Automorphisms of surface braid groups

Details Automorphisms of surface braid groups Automorphisms of surface braid groups

2003-06-03

arxiv.org/abs/math/0306069v1

Mathematics

Geometric Topology

21 pages, 0 figures

Scientific paper

In this paper, we prove that each automorphism of a surface braid group is
induced by a homeomorphism of the underlying surface, provided that this
surface is a closed, connected, orientable surface of genus at least 2, and the
number of strings is at least three. This result generalizes previous results
for classical braid groups, mapping class groups, and Torelli groups.

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