Amorces de la chirurgie en dimension quatre : un S 3 × R exotique

Laurent Siebenmann

Séminaire Bourbaki (1978-1979)

  • Volume: 21, page 183-207
  • ISSN: 0303-1179

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Siebenmann, Laurent. "Amorces de la chirurgie en dimension quatre : un $S^3 × R$ exotique." Séminaire Bourbaki 21 (1978-1979): 183-207. <http://eudml.org/doc/109935>.

@article{Siebenmann1978-1979,
author = {Siebenmann, Laurent},
journal = {Séminaire Bourbaki},
keywords = {exotic (3-sphere x R); Casson's infinite Whitney trick; orientable, simply connected compact 4-dimensional manifold; 2-dimensional homology classes with symplectic intersection matrix; representing homology classes by imbedded spheres},
language = {fre},
pages = {183-207},
publisher = {Springer-Verlag},
title = {Amorces de la chirurgie en dimension quatre : un $S^3 × R$ exotique},
url = {http://eudml.org/doc/109935},
volume = {21},
year = {1978-1979},
}

TY - JOUR
AU - Siebenmann, Laurent
TI - Amorces de la chirurgie en dimension quatre : un $S^3 × R$ exotique
JO - Séminaire Bourbaki
PY - 1978-1979
PB - Springer-Verlag
VL - 21
SP - 183
EP - 207
LA - fre
KW - exotic (3-sphere x R); Casson's infinite Whitney trick; orientable, simply connected compact 4-dimensional manifold; 2-dimensional homology classes with symplectic intersection matrix; representing homology classes by imbedded spheres
UR - http://eudml.org/doc/109935
ER -

References

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  1. [BLL] W. Browder, J. Levine and G. Livesay - Finding a boundary for an open manifold, Amer. J. Math., 87 (1965), 1017-1028. Zbl0134.42801MR189046
  2. [Ca1] A. Casson - A curious 4-manifold, Lectures, Cambridge and Paris,(1973/74). 
  3. [Ca2] A. Casson - Ends of 4-manifolds, Lectures, Cambridge and Paris, (1973/74). 
  4. [Ca3] A. Casson - The 5-dimensional simply connected h-cobordism conjecture and flexible handle theory, lecture at I. A. S., Princeton, Jan., 1976. 
  5. [Ca4] A. Casson - A translation of the link cobordism problem into algebraic braid theory, lecture in F. Adams', topologyseminar, I.C.M.Helsinki, 1978. 
  6. [CaF] A. Casson and M. Freedman - The open surgery problem on non-simply connected manifolds, corresponding e.g. to lecture of M. Freedman in Cambridge, Aug. 1978 (article in preparation). 
  7. [Do] A. Douady - Plongement de sphères [d'après Mazur et Brown], Sém. Bourbaki, (1960/61), exposé 205, Benjamin, N. Y. Zbl0116.40702
  8. [Fr] M.H. Freedman - A fake S3×R (open surgery in dimension = 4) , preprint June 1978 and Sept. 1978, Univ. of Calif. at San Diego ; to appear in Annals of Math. (vol. 110(1979), p. 177-201.) Zbl0442.57014MR541336
  9. [FrT] M. Freedman and L. Taylor - Λ-splitting 4-manifolds, Topology, 16 (1977), 181-184. Zbl0363.57004
  10. [GHS] L. Guillou, H. Hähl et L. Siebenmann - Les voisinages ouverts réguliers : critères homotopiques d'existence, Ann. Sci. Ecole Normale Supérieure, 7(1974), 431-462. Zbl0318.57011MR362324
  11. [Hu] J. Hudson - Piecewise - linear topology, Benjamin Inc.New York, 1969. Zbl0189.54507MR248844
  12. [Ki1] R. Kirby - The union of flat (n - 1)-balls is flat in Rn , Bull. Amer. Math. Soc., 1974 (1968), 614-617. Zbl0157.54603MR225328
  13. [Ki2] R. Kirby - Problems in low dimensional manifold theory, Stanford Symposium 1976. Proc. Symposia Pure Math.32, Amer. Math. Soc., 1978. Zbl0394.57002MR520548
  14. [KiS] R. Kirby and L. Siebenmann - Foundational essays on topological manifolds, Ann. of Math. Study, 88 (1977). Zbl0361.57004
  15. [La] J. Lannes - Un faux espace projectif réel de dimension 4 (d'après S. Cappell et J. Shaneson), Sém. Bourbaki, 1978/79, exposé 527, Nov. 1978. Zbl0431.57011
  16. [Man] R. Mandelbaum - Four dimensional topology, preprint of survey article, Univ. of Rochester, 1978 (cet article est très lisible, à jour et assez compréhensif). MR671584
  17. [MatS] T. Matsumoto and L. Siebenmann - The topological s-cobordism theorem fails in dimension 4 or 5 , Math. Proc. Camb. Phil. Soc., 84 (1978), 85-87. Zbl0411.57034MR489573
  18. [MiH] J. Milnor and D. Husemoller - Symmetric bilinear forms, Ergebnisse, Band 73, Springer1973. Zbl0292.10016MR506372
  19. [Mu] J. Munkres - Elementary differential topology, Ann. of Math. Study, n° 54 (1963). Zbl0107.17201MR163320
  20. [No] R. Norman - Dehn's lemma for certain 4-manifolds, Invent. Math., 7 (1969), 143-147. [Article posthume - Norman a trouvé la mort dans les montagnes du Pays-de-Galles.] Zbl0181.51602MR246309
  21. [Ro] D. Rolfsen - Knots and Links, Publish or Perish, No 7, Editor M. Spivak Box 7108, Berkeley CA 94707. Zbl0339.55004MR1277811
  22. [Sch] M. Scharlemann - Transversality theories at dimension 4, Inventiones Math., 33 (1976), 1-14. (Avec 5.4 cet article donne une théorie de transversalité qui est pratique et peut-être optimale.) Zbl0318.57007MR410756
  23. [Se] J.-P. Serre - Cours d'arithmétique, Collection SUP, Presses Univ. de France, 1970. Zbl0225.12002MR255476
  24. [Si1] L. Siebenmann - A total torsion obstruction, Comment. Math. Helv., 45 (1970), 1-48. Zbl0215.24603MR287564
  25. [Si2] L. Siebenmann - Approximating cellular maps by homeomorphisms, Topology, 11 (1973), 271-294. Zbl0216.20101MR295365
  26. [P] V. Poenaru - A remark on simply connected 3-manifolds, Bull. Amer. Math. Soc., 80 (1974), 1203-4. Zbl0337.57001MR358785
  27. [McT] D. Mcmillan and T. Thickstun - Open 3-manifolds and the Poincaré Conjecture, preprint Univ. of Wisconsin at Madison, to appear in Topology. MR579580

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