Framings of knots satisfying differential relations

Author:

Hebda James,Tsau Chichen

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Contemporary Mathematics,1996

2. Subspaces of knot spaces;Benham, Craig;Proc. Amer. Math. Soc.,2001

3. W. Blaschke, Differential Geometrie, vol. I, Chelsea Publishing Company, New York, 1967.

4. Sur les classes d’isotopie des nœuds tridimensionnels et leurs invariants;Călugăreanu, G.;Czechoslovak Math. J.,1961

5. Elimination of singularities of smooth mappings;Gromov, M. L.;Izv. Akad. Nauk SSSR Ser. Mat.,1971

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