Coformality and the rational homotopy groups of spaces of long knots
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We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in ${\mathbb R}^d$, where $d\ge 4$, 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.
12 pages. Revised (and presumably final) version. Accepted for publication in Mathematical Research Letters
12 pages. Revised (and presumably final) version. Accepted for publication in Mathematical Research Letters