Surface framed braids

Details Surface framed braids Surface framed braids

2010-01-25

arxiv.org/abs/1001.4471v2

Mathematics

Geometric Topology

24 pages ; 7 figures

Scientific paper

In this paper we introduce the framed pure braid group on $n$ strands of an oriented surface, a topological generalisation of the pure braid group $P_n$. We give different equivalents definitions for framed pure braid groups and we study exact sequences relating these groups with other generalisations of $P_n$, usually called surface pure braid groups. The notion of surface framed braid groups is also introduced.

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