Homotopy graph-complex for configuration and knot spaces

Lambrechts, Pascal; Turchin, Victor

doi:10.1090/S0002-9947-08-04650-3

Homotopy graph-complex for configuration and knot spaces
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by Pascal Lambrechts and Victor Turchin PDF

Trans. Amer. Math. Soc. 361 (2009), 207-222 Request permission

Abstract:

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 $\mathcal {E}^2$-term. We also define natural graph-complexes computing the rational homotopy of configuration and of knot spaces.

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