Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661184 | Topology and its Applications | 2006 | 12 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology