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Surjective homomorphisms between surface braid groups
Let be the pure braid group of a genus surface with
punctures. In this paper we prove that any surjective homomorphism
factors through one of the forgetful
homomorphisms. We then compute the automorphism group of ,
extending Irmak, Ivanov and McCarthy's result to the punctured case.
Surprisingly, in contrast to the case, any automorphism of
, is geometric.Comment: 12 pages, changes on writin
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