Configuration Space Integrals and Taylor Towers for Spaces of Knots

  • Ismar Volic
  • Published 2004
We describe Taylor towers for spaces of knots arising from Goodwillie's calculus of functors and extend the configuration space integrals of Bott and Taubes from spaces of knots to the stages of the towers. We prove the vanishing results in detail to show that certain combinations of integrals, dictated by trivalent diagrams, yield cohomology classes of the… CONTINUE READING