Sullivan-Quillen mixed type model for fibrations

Katsuyuki SHIBATA

doi:10.2969/jmsj/03620221

Katsuyuki SHIBATA

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JOURNAL FREE ACCESS

1984 Volume 36 Issue 2 Pages 221-242

DOI https://doi.org/10.2969/jmsj/03620221

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Published: 1984 Received: March 08, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. Godbillon, Cohomologie d'algèbre de Lie de champs de vecteurs formels, Séminaire Bourbaki 421, 1972-1973, Lecture Notes in Math., 383, Springer, 1974, 69-87.
2) A. Haefliger, Sur la cohomologie de Gelfand-Fuchs, Lecture Notes in Math., 484, Springer, 1974, 121-152.
3) A. Haefliger, Sur la cohomologie de 1'algèbre de Lie des champs de vecteurs, Ann. Sci. École Norm. Sup., 9 (1976), 503-532.
4) S. Hurder, Dual homotopy invariants of G-foliations, Topology, 20 (1981), 365-387.
5) S. Hurder and F. Kamber, Homotopy invariants of foliations, Lecture Notes in Math., 788, Springer, 1980, 49-61.
6) D. Quillen, Rational homotopy theory, Ann. of Math., 90 (1969), 205-295.
7) K. Shibata, On Haefliger's model for the Gelfand-Fuks cohomology, Japan. J. Math., 7 (1981), 379-415.
8) K. Shibata, Sullivan-Quillen mixed type model for fibrations and the Haefliger model for the Gelfand-Fuks cohomology, to appear in the proceedings of the topology conference on rational homotopy theory, Marseille, 1982.
9) F. Silveira, Homotopie rationnelle d'espaces fibrés, Thèse, Université de Genève, 1979.
10) D. Sullivan, Infinitesimal computations in topology, Publ. Math. I. H. E. S., 47, 269-331, 1977.
11) D. Tanré, Modèles de Chen, Quillen, Sullivan et applications aux fibrations de Serre, Thèse, Université de Lille, 1982.

Right : [1] C. Godbillon, Cohomologie d'algèbre de Lie de champs de vecteurs formels, Séminaire Bourbaki 421, 1972-1973, Lecture Notes in Math., 383, Springer, 1974, 69-87.
[2] A. Haefliger, Sur la cohomologie de Gelfand-Fuchs, Lecture Notes in Math., 484, Springer, 1974, 121-152.
[3] A. Haefliger, Sur la cohomologie de l'algèbre de Lie des champs de vecteurs, Ann. Sci. École Norm. Sup., 9 (1976), 503-532.
[4] S. Hurder, Dual homotopy invariants of G-foliations, Topology, 20 (1981), 365-387.
[5] S. Hurder and F. Kamber, Homotopy invariants of foliations, Lecture Notes in Math., 788, Springer, 1980, 49-61.
[6] D. Quillen, Rational homotopy theory, Ann. of Math., 90 (1969), 205-295.
[7] K. Shibata, On Haefliger's model for the Gelfand-Fuks cohomology, Japan. J. Math., 7 (1981), 379-415.
[8] K. Shibata, Sullivan-Quillen mixed type model for fibrations and the Haefliger model for the Gelfand-Fuks cohomology, to appear in the proceedings of the topology conference on rational homotopy theory, Marseille, 1982.
[9] F. Silveira, Homotopie rationnelle d'espaces fibrés, Thèse, Université de Genève, 1979.
[10] D. Sullivan, Infinitesimal computations in topology, Publ. Math. I. H. E. S., 47, 269-331, 1977.
[11] D. Tanré, Modèles de Chen, Quillen, Sullivan et applications aux fibrations de Serre, Thèse, Université de Lille, 1982.

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