Coformality and the rational homotopy groups of spaces of long knots

Abstract

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

References in corpus (1)

• Calculus of functors, operad formality, and rational homology of embedding spaces

Cited by in corpus (1)

• Calculus of functors, operad formality, and rational homology of embedding spaces