Configuration space integrals and Taylor towers for spaces of knots

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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.
Accepted to Topol. Appl

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Geometric Topology, Algebraic Topology, 57Q45; 81Q30

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http://salesiana.dossiersoluciones.com/handle/123456789/99943

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401282
 http://arxiv.org/abs/math/0401282

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arXiv