Mathematical Research Letters
Volume 15 (2008)
Coformality and rational homotopy groups of spaces of long knots
Pages: 1 – 15
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.