A Braided Simplicial Group |
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| Authors: | Wu Jie |
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| Affiliation: | Department of Mathematics, National University of Singapore Singapore 117543, Republic of Singapore; e-mail: matwuj{at}nus.edu.sg |
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| Abstract: | ![]()
By studying the braid group action on Milnor's constructionof the 1-sphere, we show that the general higher homotopy groupof the 3-sphere is the fixed set of the pure braid group actionon certain combinatorially described groups. This establishesa relation between the braid groups and the homotopy groupsof the sphere. 2000 Mathematical Subject Classification: 20F36, 55P35, 55Q05,55Q40, 55U10. |
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| Keywords: | simplicial group braid group braided simplicial group Artin representation homotopy groups |
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