Sur l'homologie des espaces de noeuds non-compacts
Quantum Algebra
2007-05-23 v1 Algebraic Topology
Abstract
The spectral sequence constructed by V.A.Vassiliev computes the homology of the spaces of non-compact knots in , . In this work the first term of this spectral sequence is described in terms of the homology of the Hochschild complex for the Poisson algebras operad, if d is odd (resp. for the Gerstenhaber algebras operads, if d is even). In particular the bialgebra of chord diagrams arises as some subspace of this homology (in this case d=3). Also a simplification for the calculation of the Vassiliev spectral sequence in the first term is provided.
Keywords
Cite
@article{arxiv.math/0010017,
title = {Sur l'homologie des espaces de noeuds non-compacts},
author = {Victor Tourtchine},
journal= {arXiv preprint arXiv:math/0010017},
year = {2007}
}
Comments
32 pages, 6 figures, in French