Twisted Poincare duality for some quadratic Poisson algebras

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dc.creatorLaunois, S.
dc.creatorRichard, L.
dc.date2006-09-14
dc.date2006-11-23
dc.date.accessioned2026-07-07T08:08:11Z
dc.date.available2026-07-07T08:08:11Z
dc.descriptionWe exhibit a Poisson module restoring a twisted Poincare duality between Poisson homology and cohomology for the polynomial algebra R=C[X_1,...,X_n] 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.
dc.description17 pages. Few misprints corrected in the new version
dc.identifierhttps://arxiv.org/abs/math/0609390
dc.identifierhttp://arxiv.org/abs/math/0609390
dc.identifierLetters in Mathematical Physics, 79 (2), 2007, 161-174
dc.identifierdoi:10.1007/s11005-006-0133-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131180
dc.subjectK-Theory and Homology
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject17B63, 17B55, 17B37, 16E40
dc.titleTwisted Poincare duality for some quadratic Poisson algebras
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