Semiclassical Geometry of Quantum Line Bundles and Morita Equivalence of Star Products

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dc.creatorBursztyn, Henrique
dc.date2001-05-01
dc.date2002-01-15
dc.date.accessioned2026-07-07T04:41:32Z
dc.date.available2026-07-07T04:41:32Z
dc.descriptionIn this paper we show how deformation quantization of line bundles over a Poisson manifold $M$ produces a canonical action $Φ$ of the Picard group $\Pic(M)\cong H^2(M,\mathbb Z)$ on the moduli space of equivalence classes of differential star products on $M$, $\Def(M)$. The orbits of $Φ$ characterize Morita equivalent star products on $M$. We describe the semiclassical limit of $Φ$ in terms of the characteristic classes of star products by studying the semiclassical geometry of deformed line bundles.
dc.description23 pages. Minor corrections made (Sec. 2.1), few typos fixed. Final version to appear at Internat. Math. Res. Notices
dc.identifierhttps://arxiv.org/abs/math/0105001
dc.identifierhttp://arxiv.org/abs/math/0105001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61399
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject53D55, 53D17
dc.titleSemiclassical Geometry of Quantum Line Bundles and Morita Equivalence of Star Products
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