References
A. Banyaga,Sur la structure du groupe des diffeomorphismes qui préservent une forme symplectique. Comment. Math. Helv. 53 (1978), 174–227,MR 80c: 58005.
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.
A. Haefliger,Feuilletages sur les variétés ouvertes. Topology9 (1970), 183–194,MR 41, no 7709.
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.
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.
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.
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.
M. Kervaire andJ. Milnor,Groups of Homotopy Spheres, I. Annals of Math.77 (1963), 504–537,MR 26, no 5584.
J. Mather,Simplicity of certain groups of diffeomorphisms, Bull. Amer. Math. Soc.80 (1974), 271–273, MR 49, no 4028.
J. Mather,Commutators of diffeomorphisms, Comment. Math. Helv.49 (1974), 512–528,MR 50, no 8600.
J. Mather,Commutators of diffeomorphisms, II. Comment. Math. Helv.50 (1975), 33–40,MR 51, no 11576.
J. Mather,On Haefliger's classifying space, I. Bull. Amer. Math. Soc.77 (1971), 1111–1115,MR 44, no 1047.
J. Mather,Integrability in codimension 1. Comment. Math. Helv.48 (1973), 195–233,MR 50 no 8556.
J. Mather,Loops and Foliations. Manifolds-Tokyo 1973 (Proc. International Conf. Tokyo, 1973) 175–180. Univ Tokyo Press, Tokyo 1975,MR 51, no 4274.
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.
J. Mather,On the homology of Haefliger's classifying spaces, course given at Varenna, 1976, CIME, Differential Topology, Leguore editore, Napoli, 1979, 73–116.
D. McDuff,The homology of some groups of diffeomorphisms. Comment. Math. Helv.55 (1980) 97–129,MR 81 j: 57018.
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.
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.
S. Smale,Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math.74 (1961), 391–406,MR 25, no 580.
N. Steenrod,The topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton Univ. Press, Princeton, N.J. 1951,MR 15-522.
W. Thurston,Foliations and groups of homeomorphisms, Bull. Amer. Math. Soc.80 (1974), 304–307,MR 49, no 4027.
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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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DOI: https://doi.org/10.1007/BF02566338