# A theory of concordance for non-spherical 3-knots

Abstract : Consider a closed connected oriented 3-manifold embedded in the $5$-sphere, which is called a $3$-{it knot/} in this paper. For two such knots, we say that their Seifert forms are {it spin concordant}, if they are algebraically concordant with respect to a diffeomorphism between the 3-manifolds which preserves their spin structures. Then we show that two simple fibered 3-knots are geometrically concordant if and only if they have spin concordant Seifert forms, provided that they have torsion free first homology groups. Some related results are also obtained.
Keywords :
Type de document :
Pré-publication, Document de travail
2001

https://hal.archives-ouvertes.fr/hal-00129670
Contributeur : Véronique Bertrand <>
Soumis le : jeudi 8 février 2007 - 14:28:13
Dernière modification le : jeudi 8 février 2007 - 17:07:27
Document(s) archivé(s) le : mercredi 7 avril 2010 - 02:40:28

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01014.pdf
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### Identifiants

• HAL Id : hal-00129670, version 1

### Citation

Vincent Blanloeil, Osamu Saeki. A theory of concordance for non-spherical 3-knots. 2001. <hal-00129670>

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