Rapport sur la théorie classique des nœuds (2ème partie)
Séminaire Bourbaki (1990-1991)
- Volume: 33, page 89-113
- ISSN: 0303-1179
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topGramain, André. "Rapport sur la théorie classique des nœuds (2ème partie)." Séminaire Bourbaki 33 (1990-1991): 89-113. <http://eudml.org/doc/110150>.
@article{Gramain1990-1991,
author = {Gramain, André},
journal = {Séminaire Bourbaki},
keywords = {classification; knots with homeomorphic complements; indecomposable knots with isomorphic groups; existence of an essential annulus; uniqueness of factorization},
language = {fre},
pages = {89-113},
publisher = {Société Mathématique de France},
title = {Rapport sur la théorie classique des nœuds (2ème partie)},
url = {http://eudml.org/doc/110150},
volume = {33},
year = {1990-1991},
}
TY - JOUR
AU - Gramain, André
TI - Rapport sur la théorie classique des nœuds (2ème partie)
JO - Séminaire Bourbaki
PY - 1990-1991
PB - Société Mathématique de France
VL - 33
SP - 89
EP - 113
LA - fre
KW - classification; knots with homeomorphic complements; indecomposable knots with isomorphic groups; existence of an essential annulus; uniqueness of factorization
UR - http://eudml.org/doc/110150
ER -
References
top- [A] J.W. Alexander - On the subdivision of a 3-space by a polyhedron, Proc. Nat. Acad. Sci. USA, 10 (1924), 8-10. JFM50.0659.01
- [BZ] G. Burde, H. Zieschang - Eine Kennzeichnung der Torusknoten, Math. Annalen, 167 (1966), 169-176. Zbl0145.20502MR210113
- - Knots, Walter de Gruyter, BerlinNew-York (1985). Zbl0568.57001
- [CF] J.W. Cannon, C.D. Feustel - Essential embeddings of annuli and Möbius bands in 3-manifolds, Trans. AMS, 215 (1976), 219-239. Zbl0314.55004MR391094
- [CGLS] M. Culler, C. Mc A. Gordon, J. Luecke, P.B. Shalen - Dehn surgery on knots, Ann. of Math.,125 (1987), 237-300. Zbl0633.57006MR881270
- [F] C.D. Feustel - On the torus theorem and its applications, Trans. AMS, 217 (1976), 1-43. Zbl0321.55006MR394666
- [FW] C.D. Feustel, W. Whitten - Groups and complements of knots, Can. J. of Math., 30 (1978), 1284-1295. Zbl0373.55003MR511562
- [Ga] D. Gabai - Foliations and the topology of 3-manifolds, III, J. Diff. Geom., 18 (1987), 479-536. Zbl0639.57008MR910018
- [GL] C. Mc A. Gordon, J. Luecke - Knots are determined by their complements, Journal of AMS, 2 (1989), 371-415. Zbl0678.57005MR965210
- [Gr] A. Gramain - Rapport sur la théorie classique des nœuds (1ère partie), Sém. Bourbaki, exposé n° 485, 1975-76, Lect. Notes in Math. n° 567, Springer (1977), 222-237. Zbl0342.57009
- [H] J. Hempel - 3-manifolds, Ann. of Math. Studies n° 86 (1976), Princeton Univ. Press. Zbl0345.57001MR415619
- [Ja] W. Jaco - Lectures on Three-Manifolds Theory, Reg. Conf. in Math. n° 43, AMS (1980). Zbl0433.57001MR565450
- [Jo] K. Johannson - Homotopy equivalence of 3-manifolds with boundaries, Lect. Notes in Math. n° 761, Springer (1979). Zbl0412.57007MR551744
- [F] F. Laudenbach - Topologie de la Dimension 3, Astérisque n° 12, S.M.F., Paris (1974). Zbl0293.57004
- [M] E.E. Moïse - Geometric Topology in Dimensions 2 and 3, Graduate Texts in Math.47, Springer (1977). Zbl0349.57001MR488059
- [N] D. Noga - Über den Aussenraum von Produktknoten und die Bedeutung der Fixgruppen, Math. Zeit., 101 (1967), 131-141. Zbl0183.52102MR219054
- [P] C. Papakyriakopoulos - On Dehn's lemma and the asphericity of knots, Ann. of Math., 66 (1957), 1-26. Zbl0078.16402MR90053
- [Scha] M. Scharlemann - Smooth spheres in R4 with four critical points are standard, Invent. Math., 70 (1985), 125-141. Zbl0559.57019MR774532
- [Schu] H. Schubert - Knoten und Vollringe, Acta Mat., 90 (1953), 131- 286. Zbl0051.40403MR72482
- [Sc] P. Scott - A new proof of the annulus and torus theorem, Amer. J. of Math., 102 (1980), 241-277. Zbl0439.57004MR564473
- [Si] J. Simon - An algebraic classification of knots in S3, Ann. of Math., 97 (1973), 1-13. Zbl0256.55003MR310861
- [ST] J. Stallings - On fibering certain 3-manifolds, in Topology of 3- manifolds and related topics (Proceedings of the 1961 Topology Conference, Univ. of Georgia), Prentice-Hall (1962). MR158375
- [Wa] F. Waldhausen - Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten, Topology6 (1967), 505-517. Zbl0172.48704MR236930
- - On irreducible 3-manifolds which are sufficiently large, Ann. of Math., 87 (1968), 56-88. Zbl0157.30603MR224099
- [Wh] W. Whitten - Algebraic and geometric characterizations of knots, Invent. Math., 26 (1974), 259-270. Zbl0291.55004MR365548
- - Knots complements and groups, Topology, 26 (1987), 41-44. Zbl0607.57004MR880506
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