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dc.contributor.authorMiranda Galcerán, Eva
dc.contributor.authorPresas, Francisco
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.identifier.citationMiranda, E.; Presas, F. "Geometric Quantization of real polarizations via sheaves". 2013.
dc.description.abstractIn this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular Lagrangian foliation via sheaf cohomology. The starting point is the definition of representation spaces due to Kostant. We check that the associated sheaf cohomology apparatus satisfies Mayer-Vietoris and K\"unneth formulae. As a consequence, new proofs of classical results for fibrations are obtained. In the general case of Lagrangian foliations, we compute Geometric Quantization with respect to almost any generic regular Lagrangian foliation on a 2-torus.
dc.format.extent35 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
dc.subject.lcshMathematical physics
dc.subject.lcshGeometry, Differencial
dc.titleGeometric Quantization of real polarizations via sheaves
dc.typeExternal research report
dc.subject.lemacFísica matemàtica
dc.subject.lemacGeometria diferencial
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::53 Differential geometry
dc.rights.accessOpen Access
upcommons.citation.authorMiranda, E.; Presas, F.
upcommons.citation.publicationNameGeometric Quantization of real polarizations via sheaves

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