On the Hochschild-Kostant-Rosenberg map for graded manifolds

Details On the Hochschild-Kostant-Rosenberg map for graded manifolds On the Hochschild-Kostant-Rosenberg map for graded manifolds

2005-03-18

arxiv.org/abs/math/0503380v2

Int. Math. Res. Not. 2005, no. 62, 3899-3918.

Mathematics

Quantum Algebra

15 pages. Problematic Lemma 5.5 of v1 removed and Theorem 5.3b corrected accordingly. Exposition reorganized. To appear in IMR

Scientific paper

10.1155/IMRN.2005.3899

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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