Brunnian Braids on Surfaces

Abstract

We determine a set of generators for the Brunnian braids on a general surface $M$ for $M\ne S^2$ 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.

44 pages

References in corpus (1)

• On symmetric commutator subgroups, braids, links and homotopy groups

Cited by in corpus (2)

• A combinatorial description of homotopy groups of spheres
• On symmetric commutator subgroups, braids, links and homotopy groups