Configuration space integrals and Taylor towers for spaces of knots

Ismar Volic

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arXiv · math/0401282

Configuration space integrals and Taylor towers for spaces of knots

Ismar Volic

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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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BibTeX RIS

Ismar Volic. 2005-11-30. Configuration space integrals and Taylor towers for spaces of knots. https://arxiv.org/abs/math/0401282

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