Homotopy graph-complex for configuration and knot spaces

Pascal Lambrechts; Victor Tourtchine

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arXiv · math/0611766

Homotopy graph-complex for configuration and knot spaces

Pascal Lambrechts·Victor Tourtchine

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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.

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BibTeX RIS

Pascal Lambrechts, Victor Tourtchine. 2006-11-24. Homotopy graph-complex for configuration and knot spaces. https://arxiv.org/abs/math/0611766

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