Variations on Prequantization

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dc.creatorWeinstein, Alan
dc.creatorZambon, Marco
dc.date2004-12-27
dc.date.accessioned2026-07-07T06:34:13Z
dc.date.available2026-07-07T06:34:13Z
dc.descriptionWe extend known prequantization procedures for Poisson and presymplectic manifolds by defining the prequantization of a Dirac manifold P as a principal U(1)-bundle Q with a compatible Dirac-Jacobi structure. We study the action of Poisson algebras of admissible functions on P on various spaces of locally (with respect to P) defined functions on Q, via hamiltonian vector fields. Finally, guided by examples arising in complex analysis and contact geometry, we propose an extension of the notion of prequantization in which the action of U(1) on Q is permitted to have some fixed points.
dc.description33 pages; contribution to the proceedings of the conference Poisson 2004
dc.identifierhttps://arxiv.org/abs/math/0412502
dc.identifierhttp://arxiv.org/abs/math/0412502
dc.identifierTravaux mathematiques, Fascicule XVI, pp. 187-219 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99456
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D50 (primary); 53D17 and 81S10 (secondary)
dc.titleVariations on Prequantization
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