Homotopy graph-complex for configuration and knot spaces
(2009) Transactions of the American mathematical society — Vol. 361, n° 1, p. 207-222 (2009)
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- Abstract
- 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 epsilon 2-term. We also define natural graph-complexes computing the rational homotopy of configuration and of knot spaces.
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Lambrechts, P., & Turchin, V. (2009). Homotopy graph-complex for configuration and knot spaces. Transactions of the American mathematical society, 361(1), 207-222. https://hdl.handle.net/2078.5/133471 (Original work published 2009)