Geodesic
Operads and knot spaces
Sinha, Dev1
1Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 461-486

Voir la notice de l'article provenant de la source American Mathematical Society

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 $E_m$.
DOI : 10.1090/S0894-0347-05-00510-2

Sinha, Dev  1

1 Department of Mathematics, University of Oregon, Eugene, Oregon 97403 
Sinha, Dev. Operads and knot spaces. Journal of the American Mathematical Society, Tome 19 (2006) no. 2, pp. 461-486. doi: 10.1090/S0894-0347-05-00510-2
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