In this Note we give a simple proof of a conjecture by A. Căldăraru 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.

The module structure of Hochschild homology in some examples / E. Macrì, M. Nieper-Wisskirchen, P. Stellari. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 346:15-16(2008), pp. 863-866. [10.1016/j.crma.2008.05.017]

The module structure of Hochschild homology in some examples

P. Stellari
Ultimo
2008

Abstract

In this Note we give a simple proof of a conjecture by A. Căldăraru 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.
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/53917
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