Configuration space integrals and Taylor towers for spaces of knots

Details Configuration space integrals and Taylor towers for spaces of knots Configuration space integrals and Taylor towers for spaces of knots

2004-01-21

arxiv.org/abs/math/0401282v3

Mathematics

Geometric Topology

Accepted to Topol. Appl

Scientific paper

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.

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