On deformation theory and graph homology

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dc.creatorAkman, Fusun
dc.creatorIonescu, Lucian M.
dc.creatorSissokho, Papa A.
dc.date2005-07-04
dc.date.accessioned2026-07-07T05:21:23Z
dc.date.available2026-07-07T05:21:23Z
dc.descriptionDeformation theory of associative algebras and in particular of Poisson algebras is reviewed. The role of an almost contraction leading to a canonical solution of the corresponding Maurer-Cartan equation is noted. This role is reminiscent of the homotopical perturbation lemma, with the infinitesimal deformation cocycle as initiator. Applied to star-products, we show how Moyal's formula can be obtained using such an almost contraction and conjecture that the merger operation provides a canonical solution at least in the case of linear Poisson structures.
dc.descriptionLaTeX, Elsevier style, 14 pages; submitted to Journal of Algebra 3/4/2005
dc.identifierhttps://arxiv.org/abs/math/0507077
dc.identifierhttp://arxiv.org/abs/math/0507077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75674
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject52Dxx; 58Hxx
dc.titleOn deformation theory and graph homology
dc.typetext

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