Homologie et modèle minimal des algèbres de Gerstenhaber
Ginot, Grégory
Annales mathématiques Blaise Pascal, Tome 11 (2004), p. 95-126 / Harvested from Numdam
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On étudie ici les notions d’algèbre de Gerstenhaber à homotopie près et d’homologie des algèbres de Gerstenhaber du point de vue de la théorie des opérades. Précisément, on donne une description explicite des 𝒢-algèbres à homotopie près (c’est-à-dire d’algèbres sur le modèle minimal de l’opérade 𝒢 des algèbres de Gerstenhaber). On décrit également le complexe calculant l’homologie des 𝒢-algèbres. On donne une suite spectrale qui converge vers cette homologie et quelques exemples de calculs. Enfin on explicite la structure d’algèbre de Poisson à homotopie près.

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     title = {Homologie et mod\`ele minimal des alg\`ebres de Gerstenhaber},
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Ginot, Grégory. Homologie et modèle minimal des algèbres de Gerstenhaber. Annales mathématiques Blaise Pascal, Tome 11 (2004) pp. 95-126. doi : 10.5802/ambp.187. http://gdmltest.u-ga.fr/item/AMBP_2004__11_1_95_0/

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