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On the Hochschild-Kostant-Rosenberg map for graded manifolds


Cattaneo, A S; Fiorenza, D; Longoni, R (2005). On the Hochschild-Kostant-Rosenberg map for graded manifolds. International Mathematics Research Notices, 2005(62):3899-3918.

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 C∞(N)) is an isomorphism of Batalin–Vilkovisky algebras. These results generalize to differential graded manifolds.

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 C∞(N)) is an isomorphism of Batalin–Vilkovisky algebras. These results generalize to differential graded manifolds.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2005
Deposited On:27 Jan 2010 12:38
Last Modified:05 Apr 2016 13:24
Publisher:Oxford University Press
ISSN:1073-7928
Free access at:Related URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1155/IMRN.2005.3899
Related URLs:http://www.math.uzh.ch/fileadmin/math/preprints/05-06.pdf

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