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On the Hochschild-Kostant-Rosenberg map for graded manifolds

Alberto S. Cattaneo·Domenico Fiorenza·Riccardo Longoni
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Abstract

We show that the Hochschild-Kostant-Rosenberg map from the space of multivector fields on a graded manifold N (endowed with a Berezinian volume) to the cohomology of the algebra of multidifferential operators on N (as a subalgebra of the Hochschild complex of the algebra of smooth functions on N) is an isomorphism of Batalin-Vilkovisky algebras. These results generalize to differential graded manifolds.

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Alberto S. Cattaneo, Domenico Fiorenza, Riccardo Longoni. 2005-03-18. On the Hochschild-Kostant-Rosenberg map for graded manifolds. https://doi.org/10.1155/imrn.2005.3899

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