The Hochschild cohomology of a closed manifold
Yves Felix, Jean-Claude Thomas, Micheline Vigué-Poirrier (2004)
Publications Mathématiques de l'IHÉS
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Let M be a closed orientable manifold of dimension and be the usual cochain algebra on M with coefficients in a field. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to...