On the structure of surface pure braid groups |
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| Authors: | D.L. Gonç alves |
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| Affiliation: | a Departamento de Matemática, IME-USP, Caixa Postal 66281, Ag. Cidade de São Paulo, CEP: 05315-970, São Paulo SP, Brazil
b Laboratoire de Mathématiques Emile Picard, UMR CNRS no. 5580 UFR-MIG, Université Toulouse III, 118, route de Narbonne, 31062 Toulouse Cedex 4, France |
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| Abstract: | We describe some of the properties of the pure braid groups of surfaces different from  and  . In the case of compact, connected, orientable surfaces without boundary and of genus at least two, we give a necessary and sufficient condition for the splitting of the pure braid group exact sequence of Fadell and Neuwirth, thus answering completely a question of Birman. |
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| Keywords: | Primary: 20F36 secondary: 20F05 55R80 |
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