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A BRAIDED SIMPLICIAL GROUP

Published online by Cambridge University Press:  29 April 2002

JIE WU
JIE WU
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 117543, Republic of Singapore. matwuj@nus.edu.sg
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Abstract

By studying the braid group action on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described groups. This establishes a relation between the braid groups and the homotopy groups of the sphere.

2000Mathematical Subject Classification: 20F36, 55P35, 55Q05, 55Q40, 55U10.

Keywords

simplicial groupbraid groupbraided simplicial groupArtin representationhomotopy groups
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 3 , May 2002 , pp. 645 - 662
Copyright
2002 London Mathematical Society

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