Classification of deformation quantization algebroids on complex symplectic manifolds

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dc.creatorPolesello, Pietro
dc.date2005-03-19
dc.date2005-12-21
dc.date.accessioned2026-07-07T06:39:37Z
dc.date.available2026-07-07T06:39:37Z
dc.descriptionDeformation quantization algebroids over a complex symplectic manifold X are locally given by rings of WKB operators, that is, microdifferential operators with an extra central parameter τ. In this paper, we will show that such algebroids are classified by H^2(X;k^*), where k^* is a subgroup of the group of invertible formal Laurent series in τ^-1.
dc.description17 pages; section 6 removed (see "Uniqueness of quantization of complex contact manifolds") and minor changes
dc.identifierhttps://arxiv.org/abs/math/0503400
dc.identifierhttp://arxiv.org/abs/math/0503400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101143
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject46L65; 35A27; 18G5
dc.titleClassification of deformation quantization algebroids on complex symplectic manifolds
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