Symplectic Reduction of Sheaves of $\mathcal{A}$-modules

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dc.creatorMallios, A.
dc.creatorNtumba, P. P.
dc.date2008-02-28
dc.date.accessioned2026-07-07T09:23:47Z
dc.date.available2026-07-07T09:23:47Z
dc.descriptionGiven an arbitrary sheaf $\mathcal{E}$ of $\mathcal{A}$-modules (or $\mathcal{A}$-module in short) on a topological space $X$, we define \textit{annihilator sheaves} of sub-$\mathcal{A}$-modules of $\mathcal{E}$ in a way similar to the classical case, and obtain thereafter the analog of the \textit{main theorem}, regarding classical annihilators in module theory, see Curtis[\cite{curtis}, pp. 240-242]. The familiar classical properties, satisfied by annihilator sheaves, allow us to set clearly the \textit{sheaf-theoretic version} of \textit{symplectic reduction}, which is the main goal in this paper.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0802.4224
dc.identifierhttp://arxiv.org/abs/0802.4224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155861
dc.subjectSymplectic Geometry
dc.subject55P05
dc.titleSymplectic Reduction of Sheaves of $\mathcal{A}$-modules
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