Calculus of the embedding functor and spaces of knots
Algebraic Topology
2007-05-23 v1 Geometric Topology
Abstract
We give an overview of how calculus of the embedding functor can be used for the study of long knots and summarize various results connecting the calculus approach to the rational homotopy type of spaces of long knots, collapse of the Vassiliev spectral sequence, Hochschild homology of the Poisson operad, finite type knot invariants, etc. Some open questions and conjectures of interest are given throughout.
Keywords
Cite
@article{arxiv.math/0601268,
title = {Calculus of the embedding functor and spaces of knots},
author = {Ismar Volic},
journal= {arXiv preprint arXiv:math/0601268},
year = {2007}
}
Comments
A survey prepared for the AIM Workshop On Moduli Spaces of Knots