Configurations, braids, and homotopy groups
Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 265-326
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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 $\Delta$-structures on fundamental groups of configuration spaces.
DOI : 10.1090/S0894-0347-05-00507-2

Berrick, A.  1   ; Cohen, F.  2   ; Wong, Y.  1   ; Wu, J.  1

1 Department of Mathematics, National University of Singapore, Kent Ridge 117543, Singapore
2 Department of Mathematics, University of Rochester, Rochester, New York 14627
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Berrick, A.; Cohen, F.; Wong, Y.; Wu, J. Configurations, braids, and homotopy groups. Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 265-326. doi: 10.1090/S0894-0347-05-00507-2

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