Resumen de Coformality and rational homotopy groups of spaces of long knots

Gregory Z. Arone, Pascal Lambrechts , Victor Turchin, Ismar Volic

• We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in $\BR^d$ for $d\ge 4$ collapses at the $E^2$ page. The main ingredients in the proof are Sinha's cosimplicial model for the space of long knots and a coformality result for the little balls operad