Homotopy graph-complex for configuration and knot spaces
Pascal Lambrechts, Victor Tourtchine
Abstract
In the paper we prove that the primitive part of the Sinha homology spectral sequence E2-term for the space of long knots is rationally isomorphic to the homotopy E2-term. We also define natural graph-complexes computing the rational homotopy of configuration and of knot spaces.
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