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.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 27 Jan 2010 12:38 |
| Last Modified: | 23 Jan 2022 14:34 |
| Publisher: | Oxford University Press |
| ISSN: | 1073-7928 |
| OA Status: | Closed |
| 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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Cattaneo, A S