Brunnian Braids on Surfaces

Details Brunnian Braids on Surfaces Brunnian Braids on Surfaces

2009-09-18

arxiv.org/abs/0909.3387v2

Mathematics

Geometric Topology

44 pages

Scientific paper

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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