Operads and knot spaces

Sinha, Dev¹

¹ Department of Mathematics, University of Oregon, Eugene, Oregon 97403

Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 461-486

Résumé

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 $E_m$.

Détail

DOI : 10.1090/S0894-0347-05-00510-2

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