Brunnian Braids on Surfaces

V. G. Bardakov , R. Mikhailov , Vladimir Vershinin (1) , Jie Wu

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

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.

Mots clés: surface; homotopy groups; Brunnian braid

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

V. G. Bardakov, R. Mikhailov, Vladimir Vershinin, Jie Wu. Brunnian Braids on Surfaces. Algebraic and Geometric Topology, 2012, 12, pp.1607-1648. ⟨10.2140/agt.2012.12.1607⟩. ⟨hal-00818070⟩