On the Hochschild-Kostant-Rosenberg map for graded manifolds
Quantum Algebra
2013-09-30 v2
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.
Keywords
Cite
@article{arxiv.math/0503380,
title = {On the Hochschild-Kostant-Rosenberg map for graded manifolds},
author = {Alberto S. Cattaneo and Domenico Fiorenza and Riccardo Longoni},
journal= {arXiv preprint arXiv:math/0503380},
year = {2013}
}
Comments
15 pages. Problematic Lemma 5.5 of v1 removed and Theorem 5.3b corrected accordingly. Exposition reorganized. To appear in IMRN