dc.contributor.author
Miranda, E.
dc.contributor.author
Weistman, J.
dc.date.accessioned
2024-12-16T14:57:55Z
dc.date.available
2024-12-16T14:57:55Z
dc.date.issued
2024-12-01
dc.identifier.uri
http://hdl.handle.net/2072/479377
dc.description.abstract
We establish analogs of the Darboux, Moser and Weinstein theorems for prequantum systems. We show that two prequantum systems on a manifold with vanishing first cohomology, with symplectic forms defining the same cohomology class and homotopic to each other within that class, differ only by a symplectomorphism and a gauge transformation. As an application, we show that the Bohr-Sommerfeld quantization of a prequantum system on a manifold with trivial first cohomology is independent of the choice of the connection.
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dc.description.sponsorship
Both authors are partially supported by Spanish State Research Agency grants PID2019-103849GB-I00 and PID2023-146936NB-I00 of MICIU/AEI/10.13039/501100011033.E. Miranda is supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2021 and by the Alexander von Humboldt Foundation via a Friedrich Wilhelm Bessel Research Award. E. Miranda is also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (project CEX2020-001084-M) and partially supported by and by the AGAUR project 2021 SGR 00603.J. Weitsman was supported in part by a Simons Collaboration Grant #579801.
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dc.relation.ispartof
Journal of Geometry and Physics
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dc.rights
(c) 2024 The Author(s)
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.subject.other
Prequantum systems
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dc.subject.other
Quantization
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dc.subject.other
Real polarization
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dc.subject.other
Darboux-Weinstein-Moser theorem
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dc.title
Darboux, Moser and Weinstein theorems for prequantum systems and applications to geometric quantization
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1016/j.geomphys.2024.105298
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
