Homotopy graph-complex for configuration and knot spaces

Details Homotopy graph-complex for configuration and knot spaces Homotopy graph-complex for configuration and knot spaces

2006-11-24

arxiv.org/abs/math/0611766v1

Mathematics

Algebraic Topology

14 pages, 15 figures

Scientific paper

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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