Geodesic
Secondary operations in the homology of the operad $E$
Izvestiya. Mathematics , Tome 40 (1993) no. 2, pp. 425-442.

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This paper studies the homology of the $\Sigma$-free and acyclic operad $E$. It is shown that this homology constitutes a free Hopf bialgebra. Secondary operations are defined, relations established for them, and formulas obtained for their computation. 
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V. A. Smirnov. Secondary operations in the homology of the operad $E$. Izvestiya. Mathematics , Tome 40 (1993) no. 2, pp. 425-442. http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a5/

[1] Smirnov V. A., “Gomotopicheskaya teoriya koalgebr”, Izv. AN SSSR. Ser. matem., 49:6 (1985), 1302–1321 | MR | Zbl

[2] Smirnov V. A., “Vtorichnye kogomologicheskie operatsii”, DAN SSSR, 288:2 (1986), 301–304 | MR

[3] Smirnov V. A., “Funktsionalnye gomologicheskie operatsii i slabyi gomotopicheskii tip”, Matem. zametki, 45:5 (1989), 76–86 | MR

[4] Slasheff J. D., “Homolopy associativity of $H$-spaces”, Trans. Amer. Math. Soc., 108:2 (1963), 275–312 | DOI

[5] Kadeishvili T. V., “K teorii gomologii rassloennykh prostranstv”, UMN, 35:3 (1980), 183–188 | MR | Zbl

[6] Milgram. B. J., “Iterated loop spaces”, Annals of Mathematics, 84:3 (1966), 386–403 | DOI | MR | Zbl

[7] Mosher P., Tangora M, Kogomologicheskie operatsii i ikh prilozheniya v teorii gomotopii, Mir, M., 1970 | MR | Zbl