Recherche et téléchargement d’archives de revues mathématiques numérisées

 
 
  Table des matières de ce fascicule | Article précédent | Article suivant
Sullivan, Dennis
Infinitesimal computations in topology. Publications Mathématiques de l'IHÉS, 47 (1977), p. 269-331
Texte intégral djvu | pdf | Analyses MR 58 #31119 | Zbl 0374.57002 | 43 citations dans Numdam

URL stable: http://www.numdam.org/item?id=PMIHES_1977__47__269_0

Bibliographie

[B] A. BOREL, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math., 57 (1953), 115-207.  MR 14,490e |  Zbl 0052.40001
[BD] R. BODY and R. DOUGLAS, Homotopy types within a rational homotopy type, Topology, 13 (1974), 209-214.  MR 50 #5787 |  Zbl 0299.55008
[B-HC] A. BOREL and HARISH-CHANDRA, Arithmetic Subgroups of Algebraic Groups, Ann. of Math., 75 (1962), 485-535.  MR 26 #5081 |  Zbl 0107.14804
[Br] Wm. BROWDER, Surgery on simply connected manifolds, Springer Ergebnisse Series, 1971.
[BS] R. BODY and D. SULLIVAN, Zariski Dynamics of a Homotopy Type, to be submitted to Topology (preprint, UCSD La Jolla, California).
[Bu] O. BURLET, Rational Homotopy of oriented Thom Spaces, Proceedings of the Advanced Study Institute on algebraic topology Aarhus (1970), vol. 1, 20-22.  MR 49 #1516
[C] Elie CARTAN, Sur les nombres de Betti des espaces de groupes clos, C. R. Acad. Sci., Paris, 187 (1928), 196-198.  JFM 54.0604.01
[C] Henri CARTAN, La transgression dans un groupe de Lie et dans un espace fibré principal, Notions d'algèbre différentielle: application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie (espaces fibrés), 58-71, Bruxelles, 1950.  Zbl 0045.30701
[D] G. DE RHAM, Intégrales multiples et Analysis Situs, C. R. Acad. Sci. Paris, 188 (1929), 1651-1652.  JFM 55.0228.01
[Gr] M. GROMOV, Homotopical effects of Dilatation, submitted to Journal of Diff. Geom.  Zbl 0427.58010
[H] Guy HIRSCH, Sur la structure multiplicative de l'anneau de cohomologie d'un espace fibré, C. R. Acad. Sci. Paris, 230 (1950), 46-48.  Zbl 0041.52002
[H-V] M. C. HEYDEMANN and M. VIGUÉ, Application de la théorie des polynômes de Hilbert-Samuel à l'étude de certaines algèbres différentielles, C. R. Acad. Sci. Paris, 278 (1974), A, 1607-1610.  Zbl 0321.13011
[K] Daniel M. KAN, A Combinatorial definition of homotopy groups, Annals of Math., 67 (1958), 282-312.  MR 22 #1897 |  Zbl 0091.36901
[KM] M. KERVAIRE and J. MILNOR, Groups of homotopy spheres I, Ann. of Math., 77 (1963), 504-557.  MR 26 #5584 |  Zbl 0115.40505
[KS] R. C. KIRBY and L. C. SIEBENMANN, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc., 75 (1969), 742-749.
Article |  MR 39 #3500 |  Zbl 0189.54701
[M1] J. MILNOR, Geometric realization of a semi-simplicial complex, Ann. of Math., 65 (1957), 357-362.  MR 18,815d |  Zbl 0078.36602
[M2] J. MILNOR, A procedure for killing the homotopy groups of a differentiable manifold, Proc. Sympos. Pure Math. III, Amer. Math. Soc., 1961, 39-55.  MR 24 #A556 |  Zbl 0118.18601
[Mo] G. D. MOSTOW, Fully Reducible Subgroups of Algebraic Groups, Amer. J. Math., 78 (1956), 200-221.  MR 19,1181f |  Zbl 0073.01603
[N] S. P. NOVIKOV, Homotopically Equivalent Smooth Manifolds, AMS Translations (2), 48 (1965), 271-396.
[P] Henri POINCARÉ, Analysis situs, Oeuvres, t. VI, 193-288, also Journal de l'Ecole Polytechnique (2), 1 (1895), 1-123.  JFM 26.0541.07
[Q] Daniel QUILLEN, Rational Homotopy Theory, Ann. of Math., 90 (1969), 205-295.  MR 41 #2678 |  Zbl 0191.53702
[Se1] Jean-Pierre SERRE, Homologie singulière des espaces fibrés. Applications, Ann. of Math., 54 (1951), 425-505.  MR 13,574g |  Zbl 0045.26003
[Se2] Jean-Pierre SERRE, Cohomologie galoisienne, Lecture Notes in Math., n° 3, Berlin, Springer, 1973.
[St] R. E. STONG, Relations among characteristic Numbers I, Topology, 4 (1965), 267-281 ; II, ibid., 5 (1966), 133-148.  Zbl 0136.20503
[Su1] Dennis SULLIVAN, Differential forms and the topology of manifolds, Manifolds-Tokyo (1973) (Proc. of the Intern. Conf. on Manifolds and related topics in Topology, Tokyo 1973) (ed. A. Hattori), U. of Tokyo Press, 1975, 37-49.  Zbl 0319.58005
[Su2] Dennis SULLIVAN, Genetics of Homotopy Theory and the Adams Conjecture, Annals of Math., 100 (1974), 1-79.  MR 56 #1305 |  Zbl 0355.57007
[Su3] Dennis SULLIVAN, Triangulating homotopy equivalences, Thesis, Princeton University (1966).
[Su4] Dennis SULLIVAN, Geometric periodicity and the invariants of manifolds, Manifolds-Amsterdam (1970) (Proc. of the Nuffic Summer School on Manifolds, Amsterdam 1970) (ed. N. Kuiper), Lecture Notes in Math., n° 197, Berlin, Springer, 1971.  Zbl 0224.57002
[Su5] Dennis SULLIVAN, On the intersection ring of compact three manifolds, Topology, 14 (1975), 275-277.  MR 52 #4296 |  Zbl 0312.57003
[Su6] Dennis SULLIVAN, Inside and Outside manifolds, Proc. Intern. Cong. of Math., Vancouver, 1974, 201-207.  Zbl 0341.57008
[Su7] Dennis SULLIVAN, Galois symmetry in manifold theory at the primes, Actes du Congrès intern. des Math., Nice (1970), vol. 2, 169-175, Paris, Gauthier-Villars, 1971.  Zbl 0235.57008
[T] René THOM, Les classes caractéristiques de Pontryagin des variétés triangulées, Symposium internacional de topologia algebraica, 54-67, Mexico, 1958.  Zbl 0088.39201
[TC] René THOM, Opérations en cohomologie réelle, Séminaire H. Cartan, 1954-1955, Exposé 17.
Numdam
[VE] N. T. VAN EST, A generalization of the Cartan Leray spectral sequence, Proc. Koninkl. Ned. Akad., série A, 1958, p. 399-413.  MR 21 #2236 |  Zbl 0084.39202
[Wa] C. T. C. WALL, Surgery on compact manifolds, Academic Press, 1970.  MR 55 #4217 |  Zbl 0219.57024
[We] A. WEIL, Variétés Kähleriennes, Paris, Hermann, 1958.  Zbl 0137.41103
[Wh1] J. H. C. WHITEHEAD, Certain equations in the algebra of a semi-simple infinitesimal group, Math. works, vol. I, 291-308 (see also The works of J. H. C. Whitehead by John MILNOR, ibid., XXII-XXXIII).
[Wh2] J. H. C. WHITEHEAD, An expression of the Hopf invariant as an integral, Proc. Nat. Acad. Sci. U.S.A., 33 (1947), 117-123 = Math. Works, vol. I, 317-323.  MR 8,525h |  Zbl 0030.07902
[W] H. WHITNEY, Geometric Integration Theory, Princeton University Press, 1957.  MR 19,309c |  Zbl 0083.28204
[Wu] WU WEN TSÜN, Theory of I* Functor in Algebraic Topology, Scientia Sinica, Vol. XVIII and Vol. XII.  Zbl 0376.55014
[DS] P. DELIGNE and D. SULLIVAN, Fibrés vectoriels complexes à groupe structural discret, C. R. Acad. Sc. Paris, 281 (1975), 1081-1083.  MR 53 #1587 |  Zbl 0317.55016
[DGMS] P. DELIGNE, P. GRIFFITHS, J. MORGAN, D. SULLIVAN, The real homotopy of Kaehler manifolds, Invent. Math., 29 (1975), 245-274.  MR 52 #3584 |  Zbl 0312.55011
[SV] D. SULLIVAN, M. VIGUÉ, The homology theory of the closed geodesic problem, Journal of Diff. Geom., 11 (1976), 633-644.  MR 56 #13269 |  Zbl 0361.53058
Copyright Cellule MathDoc 2014 | Crédit | Plan du site