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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Operads and knot spaces
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by Dev P. Sinha PDF
J. Amer. Math. Soc. 19 (2006), 461-486 Request permission

Abstract:

We model the homotopy fiber $E_m$ of the inclusion of the space of long knots in dimension $m$ into the corresponding space of immersions, through an operad structure on compactifications of configuration spaces. Development of this operad structure involves defining an operad structure on the simplicial model for the two-sphere. We apply results of McClure and Smith to deduce the existence of a two-cubes action on $E_m$.
References
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Additional Information
  • Dev P. Sinha
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • MR Author ID: 681577
  • Received by editor(s): September 20, 2004
  • Published electronically: November 15, 2005
  • Additional Notes: The author is partially supported by NSF grant DMS-0405922.
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 19 (2006), 461-486
  • MSC (2000): Primary 57Q45, 18D50, 57M27
  • DOI: https://doi.org/10.1090/S0894-0347-05-00510-2
  • MathSciNet review: 2188133