Journal of the American Mathematical Society

Author(s): A. J. Berrick; F. R. Cohen; Y. L. Wong; J. Wu
Journal: J. Amer. Math. Soc. 19 (2006), 265-326.
MSC (2000): Primary 20F36, 55Q40, 55U10; Secondary 20F12, 20F14, 57M50
Posted: November 18, 2005
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Abstract: The main results of this article are certain connections between braid groups and the homotopy groups of the

-sphere. The connections are given in terms of Brunnian braids over the disk and over the

-sphere. The techniques arise from the natural structure of simplicial and $\Delta$ -structures on fundamental groups of configuration spaces.

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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 20F36, 55Q40, 55U10, 20F12, 20F14, 57M50

A. J. Berrick
Affiliation: Department of Mathematics, National University of Singapore, Kent Ridge 117543, Singapore
Email: berrick@math.nus.edu.sg

F. R. Cohen
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627
Email: cohf@math.rochester.edu

Y. L. Wong
Affiliation: Department of Mathematics, National University of Singapore, Kent Ridge 117543, Singapore
Email: matwyl@nus.edu.sg

J. Wu
Affiliation: Department of Mathematics, National University of Singapore, Kent Ridge 117543, Singapore
Email: matwuj@nus.edu.sg

DOI: 10.1090/S0894-0347-05-00507-2
PII: S 0894-0347(05)00507-2
Keywords: Braid group, Brunnian braid, configuration space, crossed simplicial group, Moore complex, homotopy groups of spheres
Received by editor(s): April 28, 2003
Posted: November 18, 2005
Additional Notes: Research of the first, third, and last authors is supported in part by the Academic Research Fund of the National University of Singapore R-146-000-048-112 and R-146-000-049-112.
The second author is partially supported by the US National Science Foundation grant DMS 0072173 and CNRS-NSF grant 17149
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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