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ISSN 1088-6850(e) ISSN 0002-9947(p)

Homotopy graph-complex for configuration and knot spaces

Author(s): Pascal Lambrechts; Victor Turchin
Journal: Trans. Amer. Math. Soc. 361 (2009), 207-222.
MSC (2000): Primary 57Q45; Secondary 55P62, 57R40
Posted: July 30, 2008
MathSciNet review: 2439404
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Abstract | References | Similar articles | Additional information

Abstract: We prove that the primitive part of the Sinha homology spectral sequence -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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