Scindements de Heegaard des espaces lenticulaires

Francis Bonahon; Jean-Pierre Otal

Annales scientifiques de l'École Normale Supérieure (1983)

  • Volume: 16, Issue: 3, page 451-466
  • ISSN: 0012-9593

How to cite

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Bonahon, Francis, and Otal, Jean-Pierre. "Scindements de Heegaard des espaces lenticulaires." Annales scientifiques de l'École Normale Supérieure 16.3 (1983): 451-466. <http://eudml.org/doc/82124>.

@article{Bonahon1983,
author = {Bonahon, Francis, Otal, Jean-Pierre},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Heegaard splitting of a closed 3-manifold; lens space; generalized projective plane},
language = {fre},
number = {3},
pages = {451-466},
publisher = {Elsevier},
title = {Scindements de Heegaard des espaces lenticulaires},
url = {http://eudml.org/doc/82124},
volume = {16},
year = {1983},
}

TY - JOUR
AU - Bonahon, Francis
AU - Otal, Jean-Pierre
TI - Scindements de Heegaard des espaces lenticulaires
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1983
PB - Elsevier
VL - 16
IS - 3
SP - 451
EP - 466
LA - fre
KW - Heegaard splitting of a closed 3-manifold; lens space; generalized projective plane
UR - http://eudml.org/doc/82124
ER -

References

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  1. [Bo] F. BONAHON, Difféotopies des espaces lenticulaires, à paraître dans Topology. Zbl0526.57009
  2. [BO] F. BONAHON et J.-P. OTAL, Scindements de Heegaard des espaces lenticulaires (C.R. Acad. Sc., Paris, t. 294, série I, 1982). Zbl0502.57006MR83f:57008
  3. [BGM] J. BIRMAN, F. GONZALES-ACUÑ;A, J.-M. MONTESINOS, Minimal Heegaard Splittings of 3-Manifolds Are Not Unique (Michigan Math. J., vol. 23, 1976, p. 97-103). Zbl0321.57004
  4. [En] R. ENGMANN, Nicht-homöomorphe Heegaard Zerlegungen von Geschlecht 2 der zusammenhängenden Summe zweier Linsenräume, (Abh. Math. Sem. Hamburg, vol. 35, 1971, p. 33-38). Zbl0202.54601MR44 #1033
  5. [Ha] W. HAKEN, Some Results on Surfaces in 3-Manifolds (Studies in Modern Topology, P. J. HILTON, éd., Prentice Hall, 1968, p. 39-98). Zbl0194.24902MR36 #7118
  6. [Ho] C. D. HODGSON, Involutions and Isotopies of Lens Spaces (Thèse de l'Université de Melbourne, 1981). 
  7. [Ki] R. KIRBY, Problems in Low-Dimensional Manifold Theory (Proceedings of Symposia in Pure Mathematics, vol. 32, Part 2, 1978, 273-312). Zbl0394.57002MR80g:57002
  8. [O1] J.-P. OTAL, Présentations en ponts du nœud trivial (C.R. Acad. Sc., Paris, t. 294, série I, 1982, p. 553-556). Zbl0498.57001MR84a:57006
  9. [O2] J.-P. OTAL, Scindements de Heegaard et présentations en ponts, (Thèse de 3e cycle, Orsay 1982). 
  10. [Re1] K. REIDEMEISTER, Zur dreidimensionalen Topologie (Abh. math. Semin. Univ. Hamburg, vol. 9, 1933, p. 189-194). Zbl0007.08005JFM59.1240.01
  11. [Re2] K. REIDEMEISTER, Homotopieringe und Linsenräume (Abh. math. Semin. Univ. Hamburg, vol. 11, 1936, p. 102-109). Zbl0011.32404JFM61.1352.01
  12. [Sc] H. SCHUBERT, Knoten mit zwei Brücken (Math. Zeit., vol. 65, 1956, p. 133-170). Zbl0071.39002MR18,498e
  13. [Si] J. SINGER, Three-Dimensional Manifolds and Their Heegaard Diagrams, (Trans. A.M.S., vol. 35, 1933, p. 88-111). Zbl0006.18501MR1501673
  14. [St] J. STALLINGS, On the Loop Theorem (Ann. of Math., vol. 72, 1960, p. 12-19). Zbl0094.36103MR22 #12526
  15. [Wa1] F. WALDHAUSEN, Heegaard-Zerlegungen der 3-Sphäre, (Topology, vol. 7, 1968, p. 195-203). Zbl0157.54501MR37 #3576
  16. [Wa2] F. WALDHAUSEN, On Irreducible Manifolds which Are Sufficiently Large (Ann. of Math., vol. 87, 1968, p. 56-88). Zbl0157.30603MR36 #7146
  17. [Z] H. ZIESCHANG, Über einfache Kurven auf Vollbrezeln (Abh. math. Semin. Univ. Hamburg, vol. 25, 1962), p. 231-250). Zbl0111.35801MR26 #6957

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