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A curious remark concerning the geometric transfer map

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Commentarii Mathematici Helvetici

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References

  1. A. Banyaga,Sur la structure du groupe des diffeomorphismes qui préservent une forme symplectique. Comment. Math. Helv. 53 (1978), 174–227,MR 80c: 58005.

    MathSciNet  MATH  Google Scholar 

  2. J. Cerf,La stratification naturelle des espaces de fonctions différentiables réelles et le théoreme de pseudo-isotopie, Inst. Hautes Etudes Sci. Publ. Math. no 39 (1970) 5–173,MR 45, no 1176.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Haefliger,Feuilletages sur les variétés ouvertes. Topology9 (1970), 183–194,MR 41, no 7709.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Haefliger, Homotopy and Integrability.Manifolds-Amsterdam 1970 (Proc. Nuffic Summer School), 133–163Lecture Notes in Mathematics, vol. 197Springer, Berlin, 1971,MR 44, no 2251.

  5. M.-R. Herman,Sur le groupe des diffeomorphismes du tore. (English Summary)Colloque International sur l'Analyse et la Topologie Différentielle (Colloques Internationaux CNRS, Strasbourg, 1972) Ann. Inst. Fourier (Grenoble)23 (1973), 75–86,MR 52, no 11988.

  6. M.-R. Herman,Simplicité du groupe des difféomorphismes de classe C , isotopes à l'identité, du tore de dimension n. CR. Acad. Sci. Paris. Sér. A-B.273 (1971) A 232–234,MR 44, no 4788.

    MathSciNet  MATH  Google Scholar 

  7. M.-R. Herman andF. Sergeraert,Sur un théorème d'Arnold et Kolmogorov. C.R. Acad. Sci. Paris, Sér. A-B, 273 (1971), A 404–411,MR 44, no 7586.

    MathSciNet  Google Scholar 

  8. M. Kervaire andJ. Milnor,Groups of Homotopy Spheres, I. Annals of Math.77 (1963), 504–537,MR 26, no 5584.

    Article  MathSciNet  Google Scholar 

  9. J. Mather,Simplicity of certain groups of diffeomorphisms, Bull. Amer. Math. Soc.80 (1974), 271–273, MR 49, no 4028.

    MathSciNet  MATH  Google Scholar 

  10. J. Mather,Commutators of diffeomorphisms, Comment. Math. Helv.49 (1974), 512–528,MR 50, no 8600.

    MathSciNet  MATH  Google Scholar 

  11. J. Mather,Commutators of diffeomorphisms, II. Comment. Math. Helv.50 (1975), 33–40,MR 51, no 11576.

    MathSciNet  MATH  Google Scholar 

  12. J. Mather,On Haefliger's classifying space, I. Bull. Amer. Math. Soc.77 (1971), 1111–1115,MR 44, no 1047.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Mather,Integrability in codimension 1. Comment. Math. Helv.48 (1973), 195–233,MR 50 no 8556.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Mather,Loops and Foliations. Manifolds-Tokyo 1973 (Proc. International Conf. Tokyo, 1973) 175–180. Univ Tokyo Press, Tokyo 1975,MR 51, no 4274.

    Google Scholar 

  15. J. Mather,Foliations and local homology of groups of diffeomorphisms, Proceedings of the International Congress of Mathematicians (Vancouver, B.C. 1974),MR 55, no 4205.

  16. J. Mather,On the homology of Haefliger's classifying spaces, course given at Varenna, 1976, CIME, Differential Topology, Leguore editore, Napoli, 1979, 73–116.

  17. D. McDuff,The homology of some groups of diffeomorphisms. Comment. Math. Helv.55 (1980) 97–129,MR 81 j: 57018.

    MathSciNet  MATH  Google Scholar 

  18. J. Milnor,Lectures on the h-cobordism theorem. Notes by L. Siebenmann and J. Sondow.Mathematical Notes. Princeton University Press, Princeton N.J., 1965,MR 31, no 5208.

    MATH  Google Scholar 

  19. J. Moser,A rapidly convergent iteration method and non-linear differential equations, II. Ann. Scuola Norm. Sup. Pisa 20 (1966), 499–535,MR 34 no 6280.

    MathSciNet  Google Scholar 

  20. S. Smale,Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math.74 (1961), 391–406,MR 25, no 580.

    Article  MathSciNet  Google Scholar 

  21. N. Steenrod,The topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton Univ. Press, Princeton, N.J. 1951,MR 15-522.

    MATH  Google Scholar 

  22. W. Thurston,Foliations and groups of homeomorphisms, Bull. Amer. Math. Soc.80 (1974), 304–307,MR 49, no 4027.

    MathSciNet  MATH  Google Scholar 

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Mather, J.N. A curious remark concerning the geometric transfer map. Commentarii Mathematici Helvetici 59, 86–110 (1984). https://doi.org/10.1007/BF02566338

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