- On the welded Tube map arxiv link

Auteur(s): Audoux B.

(Document sans référence bibliographique) 2014-08-23

Ref HAL: hal-01066617_v1
Ref Arxiv: 1408.5479
Ref. & Cit.: NASA ADS
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This note investigates the so-called Tube map which connects welded knots, that is a quotient of the virtual knot theory, to ribbon torus-knots, that is a restricted notion of fillable knotted tori in the 4-sphere. It emphasizes the fact that ribbon torus-knots with a given filling are in one-to-one correspondence with welded knots before quotient under classical Reidemeister moves and reformulates these moves and the known sources of non-injectivity of the Tube map in terms of filling changes.

Commentaires: 23 pagesv2 : an error corrected and stylistic modifications