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The module structure of Hochschild homology in some examples

Marc Nieper-wißkirchenEmanuele MacrìPaolo Stellari

subject

AlgebraPure mathematicsConjectureHochschild homologyMathematics::K-Theory and HomologyMathematics::Quantum AlgebraModuloMathematics::Differential GeometryGeneral MedicineMathematics::Algebraic TopologyMathematics::Symplectic GeometryCohomologyMathematics

description

Abstract In this Note we give a simple proof of a conjecture by A. Caldararu stating the compatibility between the modified Hochschild–Kostant–Rosenberg isomorphism and the action of Hochschild cohomology on Hochschild homology in the case of Calabi–Yau manifolds and smooth projective curves. To cite this article: E. Macri` et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

https://doi.org/10.1016/j.crma.2008.05.017