Configurations, Braids, and Homotopy Groups
نویسندگان
چکیده
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.
منابع مشابه
Artin Braid Groups and Homotopy Groups
We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary Brunnian braids, as well as given as a summand of the center of the quotient groups of Artin pure braid groups modulo boundary Brunnian braids. T...
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