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References:
[1] J. M. Boardman, R. M. Vogt: Homotopy invariant algebraic structures on topological spaces. LNM, no. 347, Berlin-Heidelberg-New York, 1973. MR 0420609
[2] A. Borel: Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts. Annals of Math. 57 (1953), 115–207. DOI 10.2307/1969728 | MR 0051508 | Zbl 0052.40001
[3] A. Borel, F. Hirzebruch: Characteristic classes and homogeneous spaces 1. Amer. J. Math. 80 (1958), 459–538. MR 0102800
[4] A. K. Bousfield, V. K. A. M. Guggenheim: On PL de Rham theory and rational homotopy type. Memoirs Amer. Math. Soc. 8(179) (1976). MR 0425956
[5] D. Burghelea: Cyclic homology and the algebraic $K$-theory of spaces 1. Contemp. Math. 55 (1986), 89–115. MR 0862632
[6] D. Burghelea, Z. Fiedorowicz: Cyclic homology and algebraic $K$-theory of spaces 2. Topology 25 (1986), 303–317. DOI 10.1016/0040-9383(86)90046-7 | MR 0842427
[7] A. Connes: De Rham homology and non-commutative algebra. Publ. Math. IHES 62 (1985), 94–144.
[8] A. Connes: Cohomologie cyclique et founkteur Ext$^n$. C. r. Acad. Sci. Paris, Ser. A 296 (1983), 953–958. MR 0777584
[9] A. Connes, H. Moscovici: Cyclic homology, the Novikov conjecture and hyperbolic groups. Topology 29 (1990), 345–388. DOI 10.1016/0040-9383(90)90003-3 | MR 1066176
[10] K. Doan: Poicaré polynomials of compact homogeneous Riemannian spaces with irreducible isotropy subgroup. Trudy Semin. Vect. Tens. Anal. 14 (1968), 33–93. (Russian) MR 0274665
[11] M. El-Hauari: Cohomologie de Hochschild et $k$-formalite intrinseque. C. r. Acad. Sci. Paris, Ser. 1 310 (1990), 731–734. MR 1055238
[12] T. Goodwillie: Cyclic homology, derivations and the free loop space. Topology 24 (1985), 187–215. DOI 10.1016/0040-9383(85)90055-2 | MR 0793184
[13] V. Greub, S. Halperin, R. Vanstone: Curvature, connections and cohomology, v. 3. Academic Press, New York, 1976.
[14] P. Griffiths, J. Morgan: Rational homotopy theory and differential forms. Birkhäuser, Boston, 1981. MR 0641551
[15] S. Halperin, M. Vigué-Poirrier: The homology of a free loop space. Pacif. J. Math. 147 (1991), 311–324. DOI 10.2140/pjm.1991.147.311 | MR 1084712
[16] M.-C. Heidemann-Tcherkez, M. Vigué-Poirrier: Application de la theorie des polynomes de Hilbert-Samuel a l’etude de certaines algebres differentielles. C. r. Acad. Sci. Paris, Ser. A 278 (1974), 1607–1610. MR 0366902
[17] S. Helgason: Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press, New York, 1978. MR 0514561 | Zbl 0451.53038
[18] Y. Kihoon: Almost complex homogeneous spaces and their submanifolds. World Scientific, Singapoor, 1987. MR 0938098
[19] R. Krasauskas: Certain topological applications of dyhedral homology. Ph.D. Thesis, Moscow University, 1987. (Russian)
[20] D. Lehmann: Theorie homotopique des formes differentielles (d’apres D. Sullivan). Societe mathematique de France, Asterisque 45 (1977). MR 0488041
[21] P. Rashevskii: On real cohomology of homogeneous spaces. Uspekhi Mat. Nauk 24(3) (1969), 23–90. (Russian)
[22] M. Vigué-Poirrier, D. Burghelea: A model for cyclic homology and algebraic $K$-theory of 1-connected topological spaces. J. Diff. Geom. 22 (1985), 243–253. MR 0834279
[23] M. Vigué-Poirrier, D. Burghelea: Cyclic homology of commutative algebras. Publ. IRMA–Lille 8(1) (1987).
[24] M. Vigué-Poirrier: Cyclic homology of algebraic hypersurfaces. Publ. IRMA–Lille 10(7) (1987).
[25] M. Vigué-Poirrier: Cyclic homology and Quillen homology of a commutative algebra. Publ. IRMA–Lille 5(1) (1986).
[26] M. Vigué-Poirrier: Homologie de Hochschild et homologie cyclique des algebres differentielles graduees. Publ. IRMA–Lille 17(1) (1989). MR 1098974
[27] E. Witten: The index of a Dirac operator in loop space. LNM, no. 1326, 1986, pp. 161–181. MR 0970288
[28] A. E. Tralle: Cyclic homology of certain topological spaces which are formal in the sense of Sullivan. Matem. Zametki 50(6) (1991), 131–141, English transl. in “Math. Notes”. (Russian) MR 1150643
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