Launois, Stephane, Richard, Lionel (2007) Twisted Poincare duality for some quadratic Poisson algebras. Letters in Mathematical Physics, 79 (2). pp. 161-174. ISSN 0377-9017. (doi:10.1007/s11005-006-0133-z) (KAR id:3154)
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| Official URL: http://dx.doi.org/10.1007/s11005-006-0133-z |
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Abstract
We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a corollary we compute the Poisson cohomology of R, and so retrieve a result obtained by direct methods (so completely different from ours) by Monnier.
| Item Type: | Article |
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| DOI/Identification number: | 10.1007/s11005-006-0133-z |
| Uncontrolled keywords: | Poisson (co)homology - Hochschild (co)homology - Poincaré duality |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Stephane Launois |
| Date Deposited: | 03 Jun 2008 14:28 UTC |
| Last Modified: | 16 Nov 2021 09:41 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/3154 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Launois, Stephane.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7252-8515
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