Homotopy graph-complex for configuration and knot spaces
Algebraic Topology
2016-09-07 v1 Quantum Algebra
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.
Cite
@article{arxiv.math/0611766,
title = {Homotopy graph-complex for configuration and knot spaces},
author = {Pascal Lambrechts and Victor Tourtchine},
journal= {arXiv preprint arXiv:math/0611766},
year = {2016}
}
Comments
14 pages, 15 figures