Framings of knots satisfying differential relations

Hebda, James; Tsau, Chichen

doi:10.1090/S0002-9947-03-03222-7

Framings of knots satisfying differential relations
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by James J. Hebda and Chichen M. Tsau PDF

Trans. Amer. Math. Soc. 356 (2004), 267-281 Request permission

Abstract:

This paper introduces the notion of a differential framing relation for knots in a three-dimensional manifold. There is a canonical map from the space of knots that satisfy a framing relation into the space of framed knots. Under reasonable assumptions this canonical map is a weak homotopy equivalence.

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