Sur des noeuds qui ne sont pas déterminés par leur complément et problèmes de chirurgie dans les variétés de dimension 3 / Yves Mathieu ; sous la responsabilité de Michel Domergue
Type de document : ThèseLangue : français.Pays : France.Éditeur : [S.l.] : [s.n.], 1990Description : 1 vol. (pagination multiple) ; 30 cmBibliographie : Bibliogr. .Sujet MSC : 57K31, Manifolds and cell complexes - Low-dimensional topology in specific dimensions, Invariants of 3-manifolds57K10, Manifolds and cell complexes - Low-dimensional topology in specific dimensions, Knot theory
92C50, Biology and other natural sciences, Physiological, cellular and medical topics, Medical applications
97-02, Research exposition (monographs, survey articles) pertaining to mathematics educationNote de thèse: Thèse de doctorat es sciences mathématiques, mathématiques, 1990, Université de Provence
| Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle S | Thèses MAT (Browse shelf) | Available | 10079-01 |
Bibliogr.
Thèse de doctorat es sciences mathématiques mathématiques 1990 Université de Provence
A description of a geometric method is given, which constructs in every compact oriented 3-manifold V whose boundary is a torus (for example, V might be a solid torus) two knots which are inequivalent by homeomorphisms of V but which have (degree 1) homeomorphic complements, in contrast to the situation in the 3-sphere, where it is now known that knots are determined by their complements. See also a paper of D. Gabai [Topology 28, 1-6 (1989; Zbl 0678.57004), which completely answers the question for knots in the solid torus.
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