Configuration space integrals and Taylor towers for spaces of knots
Geometric Topology
2007-05-23 v3 Algebraic Topology
Abstract
We describe Taylor towers for spaces of knots arising from Goodwillie-Weiss calculus of the embedding functor and extend the configuration space integrals of Bott and Taubes from spaces of knots to the stages of the towers. We show that certain combinations of integrals, indexed by trivalent diagrams, yield cohomology classes of the stages of the tower, just as they do for ordinary knots.
Keywords
Cite
@article{arxiv.math/0401282,
title = {Configuration space integrals and Taylor towers for spaces of knots},
author = {Ismar Volic},
journal= {arXiv preprint arXiv:math/0401282},
year = {2007}
}
Comments
Accepted to Topol. Appl