Configurations, braids, and homotopy groups

By Jie Wu, Jon Berrick, Na, Frederick R. Cohen, Yan Loi Wong. 2005

68 citations recorded by the source corpus.

The main results of this article are certain connections between braid groups and the homotopy groups of the 2-sphere. The connections are given in terms of Brunnian braids over the disk and over the 2-sphere. The techniques arise from the natural structure of simplicial and ∆-structures on fundamental groups of configuration spaces.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4658a0355fd5fac5087078628d035a9ed16c912d