Hurder, Steven Independent rigid secondary classes for holomorphic foliations. (English) Zbl 0489.57006 Invent. Math. 66, 313-323 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 2 Documents MSC: 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology 57R30 Foliations in differential topology; geometric theory 57R20 Characteristic classes and numbers in differential topology 32L05 Holomorphic bundles and generalizations 57R25 Vector fields, frame fields in differential topology Keywords:rigid secondary classes; characteristic classes for holomorphic foliations; universal Chern classes for transversely holomorphic foliations; space of foliations on an open manifold PDF BibTeX XML Cite \textit{S. Hurder}, Invent. Math. 66, 313--323 (1982; Zbl 0489.57006) Full Text: DOI EuDML References: [1] Adachi, M.: A note on complex structures on open manifolds. J. Math. Kyoto. Univ.17, 35-46 (1977) · Zbl 0359.32005 [2] Baum, P., Bott, R.: Singularities of holomorphic foliations. J. Differential Geometry7, 279-342 (1972) · Zbl 0268.57011 [3] Bott, R.: Lectures on characteristic classes and foliations. Lecture Notes in Math.279, 1-94 (1972) · Zbl 0241.57010 · doi:10.1007/BFb0058509 [4] Duchamp, T., Kalka, M.: Deformation theory for holomorphic foliations. J. Differential Geometry14, 317-337 (1979) · Zbl 0451.57015 [5] Godbillon, C.: Cohomologie d’algebres de Lie de champs de vecteurs formels. Sem. Bourbaki421 (1971/72) · Zbl 0304.17004 [6] Haefliger, A.: Feuilletages sur les variétés ouvertes. Topology9, 183-194 (1979) · Zbl 0196.26901 · doi:10.1016/0040-9383(70)90040-6 [7] Haefliger, A.: Homotopy and integrability. Lecture Notes in Math197, 133-166 (1971) · Zbl 0215.52403 · doi:10.1007/BFb0068615 [8] Haefliger, A.: Whitehead products and differential forms. Lecture Notes in Math.652, 13-24 (1978) · Zbl 0389.55015 · doi:10.1007/BFb0063500 [9] Heitsch, J.: Deformations of secondary characteristic classes. Topology12, 381-388 (1973) · Zbl 0268.57010 · doi:10.1016/0040-9383(73)90030-X [10] Hurder, S.: Dual homotopy invariants ofG-foliations. Topology20, 365-387 (1981) · Zbl 0466.57014 · doi:10.1016/0040-9383(81)90020-3 [11] Hurder, S.: On the secondary classes of foliations with trivial normal bundles. Comment. Math. Helv.56, 307-326 (1981) · Zbl 0467.57008 · doi:10.1007/BF02566215 [12] Hurder, S.: On the classifying space of smooth foliations. To appear (1982) · Zbl 0517.57012 [13] Kamber, F., Tondeur, P.: Foliated bundles and characteristic classes. Lecture Notes in Math.493 (1975) · Zbl 0308.57011 [14] Kodaira, K., Spencer, D.C.: Multifoliate structures. Ann. of Math.74, 52-100 (1961) · Zbl 0123.16401 · doi:10.2307/1970306 [15] Landweber, P.: Complex structures on open manifolds. Topology13, 69-75 (1974) · Zbl 0276.53027 · doi:10.1016/0040-9383(74)90039-1 [16] Milnor, J., Stasheff, J.: Characteristic classes. Ann. of Math. Study 76, Princeton University Press 1974 · Zbl 0298.57008 [17] Porter, G.: Higher order Whitehead products. Topology3, 123-135 (1965) · Zbl 0149.20204 · doi:10.1016/0040-9383(65)90039-X [18] Rasmussen, O.H.: Exotic characteristic classes for holomorphic foliations. Invent. Math.46, 153-171 (1978) · Zbl 0369.57007 · doi:10.1007/BF01393253 [19] Schweitzer, P., Whitman, A.: Pontrjagin polynomial residues of isolated fohation singularities. Lecture Notes in Math.652, 95-103 (1978) · Zbl 0409.57029 · doi:10.1007/BFb0063504 [20] Whitehead, G.W.: Elements of Homotopy Theory. Graduate Texts in Math 61, New York-Heidelberg: Springer-Verlag 1978 · Zbl 0406.55001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.