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- W1551114525 abstract "This work continues the study of a homotopy-theoretic construction of the author inspired by the Bott-Taubes integrals. Bott and Taubes constructed knot invariants by integrating differential forms along the fiber of a bundle over the space of knots. Their techniques were later used by Cattaneo et al. to construct real cohomology classes in spaces of knots in higher-dimensional Euclidean space. By doing this integration via a Pontrjagin-Thom construction, we constructed cohomology classes in the knot space with arbitrary coefficients. We later showed that a refinement of this construction recovers the Milnor triple linking number for string links. We conjecture that we can produce all Vassiliev-type classes in this manner. Here we extend our homotopy-theoretic constructions to the stages of the Taylor tower for the knot space, which arises from the Goodwillie-Weiss embedding calculus. We use the model of punctured knots and links for the Taylor tower." @default.
- W1551114525 created "2016-06-24" @default.
- W1551114525 creator A5033591000 @default.
- W1551114525 date "2011-02-11" @default.
- W1551114525 modified "2023-09-27" @default.
- W1551114525 title "Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links" @default.
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