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Brunnian Braids on Surfaces

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arxiv 0909.3387 v2 pith:QQ7DC4EV submitted 2009-09-18 math.GT math.GR

classification math.GTmath.GR
keywords braidsbrunniangeneratorscasedeterminegeneralgeneratinggiven
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abstract

We determine a set of generators for the Brunnian braids on a general surface $M$ for $M\not=S^2$ or $\RP^2$. For the case $M=S^2$ or $\RP^2$, a set of generators for the Brunnian braids on $M$ is given by our generating set together with the homotopy groups of a 2-sphere.

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