A Homotopy-theoretic View of Bott-taubes Integrals and Knot Spaces

Abstract

We construct cohomology classes in the space of knots by considering a bundle over this space and “integrating along the fiber” classes coming from the cohomology of configuration spaces using a Pontrjagin-Thom construction. The bundle we consider is essentially the one considered by Bott and Taubes [7], who integrated differential forms along the fiber to… (More)

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