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Concordance des nœuds de dimension 4

Published online by Cambridge University Press:  20 November 2018

Vincent Blanloeil  and
Osamu Saeki
Vincent Blanloeil
Affiliation:
Département de Mathématiques, Université Louis Pasteur Strasbourg-I, 7, rue René Descartes, 67084 Strasbourg Cedex, France e-mail: blanloeil@math.u-strasbg.fr
Osamu Saeki
Affiliation:
Faculty of Mathematics, Kyushu University, Hakozaki, Fukuoka 812-8581, Japan e-mail: saeki@math.kyushu-u.ac.jp
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Résumé

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Nous démontrons que tous les plongements d’une variété compacte sans bord et simplement connexe de dimension quatre dans la sphère de dimension six sont concordants.

Abstract

Abstract

We prove that for a simply connected closed 4-dimensional manifold, its embeddings into the sphere of dimension 6 are all concordant to each other.

Keywords

57Q4557Q6057R4057R6557N13concordancecobordismenœud de dimension 4chirurgie plongée
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 4 , 01 December 2007 , pp. 481 - 485
Copyright
Copyright © Canadian Mathematical Society 2007

References

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