Homotopy graph-complex for configuration and knot spaces

Abstract

In the paper we prove that the primitive part of the Sinha homology spectral sequence E^2-term for the space of long knots is rationally isomorphic to the homotopy E^2-term. We also define natural graph-complexes computing the rational homotopy of configuration and of knot spaces.

14 pages, 15 figures

References in corpus (4)

• On a theorem of Kontsevich
• The topology of spaces of knots
• Knots, operads and double loop spaces
• Calculus of functors, operad formality, and rational homology of embedding spaces

Cited by in corpus (1)

• Homotopy approximations to the space of knots, Feynman diagrams, and a conjecture of Scannell and Sinha