Characteristic classes of flags of foliations. (English. Russian original) Zbl 0328.57008
Funct. Anal. Appl. 9, 312-317 (1976); translation from Funkts. Anal. Prilozh. 9, No. 4, 49-56 (1975).
MSC:
| 57R30 | Foliations in differential topology; geometric theory |
| 57R20 | Characteristic classes and numbers in differential topology |
| 17B56 | Cohomology of Lie (super)algebras |
References:
| [1] | I. N. Bernshtein and B. I. Rozenfeld, ”On characteristic classes of foliations,” Funktsional’. Analiz i Ego Prilozhen.,6, No. 1, 68-69 (1972). |
| [2] | I. M. Gel’fand, and D. B. Fuks, ”Cohomologies of Lie algebras of formal vector fields,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, 322-337 (1970). |
| [3] | C. Godbillon, ”Cohomologies of Lie algebras of formal vector fields,” Usp. Matem. Nauk,28, No. 4, 139-152 (1973). · Zbl 0304.17004 |
| [4] | I. M. Gel’fand, B. L. Feigin, and D. B. Fuks, ”Cohomologies of Lie algebras of formal vector fields with coefficients in their adjoint spaces, and variations of characteristic classes of foliations,” Funktsional’. Analiz i Ego Prilozhen.,8, No. 2, 13-30 (1974). |
| [5] | G. Höchschild and J.-P. Serre, ”Cohomology of Lie algebras,” Ann. Math.,57, 591-693 (1953). · Zbl 0053.01402 · doi:10.2307/1969740 |
| [6] | I. N. Bernshtein and B. I. Rozenfeld, ”Homogeneous spaces of infinite dimensional Lie algebras and characteristic classes of foliations,” Usp. Matem. Nauk,28, No. 4, 103-138 (1973). |
| [7] | R. Bott, ”On a topological obstruction to integrability,” Proc. Symp. Pure Math.,10, 127-131 (1970). · Zbl 0206.50501 |
| [8] | R. Bott and A. Haefliger, ”On characteristic classes of ?-foliations,” Bull. Amer. Math. Soc.,78, No. 6, 1039-1044 (1972). · Zbl 0262.57010 · doi:10.1090/S0002-9904-1972-13101-X |
| [9] | R. Bott, Lecture on characteristic classes and foliations, in: Lecture Notes in Maths. No. 279, Springer-Verlag (1972), pp. 1-74. |
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