Journal of the American Mathematical Society

Author(s): Dev P. Sinha
Journal: J. Amer. Math. Soc. 19 (2006), 461-486.
MSC (2000): Primary 57Q45, 18D50, 57M27
Posted: November 15, 2005
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Abstract: We model the homotopy fiber

of the inclusion of the space of long knots in dimension

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

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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 57Q45, 18D50, 57M27

Dev P. Sinha
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403

DOI: 10.1090/S0894-0347-05-00510-2
PII: S 0894-0347(05)00510-2
Keywords: Knot spaces, operads, embedding calculus
Received by editor(s): September 20, 2004
Posted: November 15, 2005
Additional Notes: The author is partially supported by NSF grant DMS-0405922.
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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