Non-trivial characteristic invariants of homogeneous foliated bundles

 Access to full text

 Full (PDF)

1. [1] V. I. ARNOLD, Characteristic Class Entering in Quantization Conditions (Funct. Anal. and its Appl., vol. 1, 1967, p. 1-13). Zbl0175.20303
2. [2] I. N. BERNSTEIN and B. I. ROSENFELD, Characteristic Classes of Foliations (Funct. Anal. and its Appl., vol. 6, 1972, p. 68-69). Zbl0258.57006MR45 #6026
3. [3] A. BOREL, Compact Clifford-Klein Forms of Symmetric Spaces (Topology, vol. 2, 1963, p. 111-122). Zbl0116.38603MR26 #3823
4. [4] R. BOTT, On a Topological Obstruction to Integrability (Proc. Symp. Pure Math., vol. XVI, 1970, p. 127-131). Zbl0206.50501MR42 #1155
5. [5] R. BOTT, Lectures on Characteristic Classes and Foliations (Springer Lecture Notes, n° 279, 1972). Zbl0241.57010MR50 #14777
6. [6] R. BOTT, On the Chern-Weil Homomorphism and the Continuous Cohomology of Lie Groups (Advances in Math., vol. 11, 1973, p. 289-303). Zbl0276.55011MR49 #9854
7. [7] R. BOTT and A. HAEFLIGER, On Characteristic Classes of P-Foliations (Bull. Amer. Math. Soc., vol. 78, 1972, p. 1039-1044). Zbl0262.57010MR46 #6370
8. [8] H. CARTAN, Cohomologie réelle d'un espace fibré principal différentiable (Séminaire Cartan, exposés 19 et 20, 1949/1950). 
9. [9] S. S. CHERN and J. SIMONS, Some Cohomology Classes in Principal Fibre Bundles and their Applications to Riemannian Geometry (Proc. Nat. Acad. Sc. U. S. A., vol. 68, 1971, p. 791-794). Zbl0209.25401MR43 #5453
10. [10] S. S. CHERN and J. SIMONS, Characteristic Forms and Geometric Invariants (Annals of Math., vol. 99, 1974, p. 48-69). Zbl0283.53036MR50 #5811
11. [11] W. T. VAN EST, Une application d'une méthode de Cartan-Leray (Indag. Math., vol. 18, 1955, p. 542-544). Zbl0067.26203MR17,385a
12. [12] C. GOBDILLON and J. VEY, Un invariant des feuilletages de codimension 1 (C. R. Acad. Sc. Paris, t. 273, série A, 1971, p. 92-95). Zbl0215.24604MR44 #1046
13. [13] R. GOLDMAN, Characteristic Classes on the Leaves of Foliated Manifolds (Thesis, University of Maryland, 1973). 
14. [14] W. GREUB, S. HALPERIN and R. VANSTONE, Connections, Curvature and Cohomology, Academic Press, vol. I, 1972 ; vol. II, 1973 et vol. III (to appear). Zbl0322.58001
15. [15] A. HAEFLIGER, Sur les classes caractéristiques des feuilletages (Séminaire Bourbaki, exposé 412, juin 1972). Zbl0257.57011
16. [16] J. HEITSCH, Deformation of Secondary Characteristic Classes (Topology, vol. 12, 1973, p. 381-388). Zbl0268.57010MR47 #9639
17. [17] S. HELGASON, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962. Zbl0111.18101MR26 #2986
18. [18] H. HOPF, Ueber die Curvatura Integra geschlossener Hyperflächen (Math. Ann., bd 95, 1925/1926, s. 340-367). Zbl51.0566.02JFM51.0566.02
19. [19] H. HOPF, Vektorfelder in n-dimensionalen Mannigfaltigkeiten (Math. Ann., bd 96, 1926-1927, s. 225-250). JFM52.0571.01
20. [20] F. KAMBER and Ph. TONDEUR, Flat Manifolds (Springer Lecture Notes, n° 67, 1968, p. 1-53). Zbl0169.55002MR38 #6618
21. [21] F. KAMBER and Ph. TONDEUR, Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves (Memoirs Amer. Math. Soc., vol. 113, 1971, p. 1-125). Zbl0215.52004MR54 #1250
22. [22] F. KAMBER and Ph. TONDEUR, Characteristic Classes of Modules over a Sheaf of Lie Algebras (Notices Amer. Math. Soc., vol. 19, 1972, A-401). 
23. [23] F. KAMBER and Ph. TONDEUR, Cohomologie des algèbres de Weil relatives tronquées (C. R. Acad. Sc. Paris, t. 276, série A, 1973, p. 459-462). Zbl0247.57004MR47 #9660
24. [24] F. KAMBER and Ph. TONDEUR, Algèbres de Weil semi-simpliciales (C. R. Acad. Sc. Paris, t. 276, série A, 1973, p. 1177-1179) ; Homomorphisme caracteristique d'un fibré principal feuilleté (ibid., p. 1407-1410) ; Classes caractéristiques dérivées d'un fibré principal feuilleté (ibid., p. 1449-1452). Zbl0263.57009MR47 #9661
25. [25] F. KAMBER and Ph. TONDEUR, Characteristic Invariants of Foliated Bundles (Manuscripta Math., vol. 11, 1974, p. 51-89). Zbl0267.57012MR48 #12556
26. [25'] F. KAMBER and Ph. TONDEUR, Foliated Bundles and Characteristic Classes (Springer Lecture Notes, 493, 1975, p. 1-208). Zbl0308.57011MR53 #6587
27. [26] F. KAMBER and Ph. TONDEUR, Semi-Simplicial Weil Algebras and Characteristic Classes for Foliated Bundles in Čech Cohomology (Proc. Symposia Pure. Math., vol. 27, 1974, p. 283-294). Zbl0311.57011
28. [27] F. KAMBER and Ph. TONDEUR, Classes caractéristiques généralisées des fibres feuilletés localement homogènes (C. R. Acad. Sc. Paris, t. 279, série A, 1974, p. 847-850) ; Quelques classes caractéristiques généralisées non-triviales de fibrés feuilletés (ibid., p. 921-924). Zbl0291.57015MR51 #4272
29. [28] F. KAMBER and Ph. TONDEUR, Cohomology of g-DG-algebras (to appear). 
30. [29] J. L. KOSZUL ; Homologie et cohomologie des algèbres de Lie (Bull. Soc. Math. Fr., vol. 78, 1950, p. 65-127). Zbl0039.02901MR12,120g
31. [30] J. L. KOSZUL, Sur un type d'algèbres différentielles en rapport avec la transgression (Coll. de Topologie, Bruxelles, 1950, p. 73-81). Zbl0045.30801MR13,109a
32. [31] J. L. KOSZUL, Déformations et connexions localement plates (Ann. Inst. Fourier, Grenoble, vol. 18, 1968, p. 103-114). Zbl0167.50103MR39 #886
33. [32] B. REINHART, Holonomy Invariants for Framed Foliations (Differential Geometry Colloquium, Santiago de Compostela 1972, Springer Lecture Notes, n° 392, p. 47-52). Zbl0291.57017MR51 #1842
34. [33] H. SHULMAN, Characteristic Classes of Foliations (Ph. D. Thesis, University of California Berkeley, 1972). Zbl0258.57006