Formal deformations of Poisson structures in low dimensions

Simple item page
dc.creatorPichereau, Anne
dc.date2008-06-13
dc.date.accessioned2026-07-07T10:17:36Z
dc.date.available2026-07-07T10:17:36Z
dc.descriptionIn this paper, we study formal deformations of Poisson structures, especially for three families of Poisson varieties in dimensions two and three. For these families of Poisson structures, using an explicit basis of the second Poisson cohomology space, we solve the deformation equations at each step and obtain a large family of formal deformations for each Poisson structure which we consider. With the help of an explicit formula, we show that this family contains, modulo equivalence, all possible formal deformations. We show moreover that, when the Poisson structure is generic, all members of the family are non-equivalent.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0806.2349
dc.identifierhttp://arxiv.org/abs/0806.2349
dc.identifierPacific J. Math., 239 (2009), no. 1, 105--133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173906
dc.subjectQuantum Algebra
dc.subject17B63; 58H15; 17B55
dc.titleFormal deformations of Poisson structures in low dimensions
dc.typetext

Files

Collections

arXiv