dc.contributor.author
Mir, P.
dc.contributor.author
Miranda, E.
dc.contributor.author
Weitsman, J.
dc.date.accessioned
2023-12-11T09:06:38Z
dc.date.accessioned
2024-09-19T14:31:55Z
dc.date.available
2023-12-11T09:06:38Z
dc.date.available
2024-09-19T14:31:55Z
dc.date.issued
2023-11-20
dc.identifier.uri
http://hdl.handle.net/2072/537114
dc.description.abstract
We introduce a Bohr-Sommerfeld quantization for b-symplectic toric manifolds and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given by a signed count of the integral points in the moment polytope of the torus action on the manifold. © 2023, International Press, Inc. All rights reserved.
eng
dc.description.sponsorship
Funding text 1: ∗The author is supported by the Doctoral INPhINIT - RETAINING grant ID 100010434 LCF/BQ/DR21/11880025 of “la Caixa” Foundation, by the AEI grant PID2019-103849GB-I00 of MCIN/ AEI /10.13039/501100011033, by the AGAUR project 2021 SGR 00603 Geometry of Manifolds and Applications, GEOMVAP and the AGRUPS 2023 grant by UPC.; Funding text 2: †The author is partially supported by the Spanish State Research Agency AEI / 10.13039/501100011033, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (project CEX2020-001084-M) and the grant PID2019-103849GB-I00. The author is also partially supported by the AGAUR project 2021 SGR 00603 Geometry of Manifolds and Applications, GEOMVAP and by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2021. ‡The author is supported by supported by a Simons collaboration grant.
dc.format.extent
26 p.
cat
dc.publisher
International Press, Inc.
cat
dc.relation.ispartof
Pure and Applied Mathematics Quarterly
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Bohr-Sommerfeld quantization, Toric Manifolds, GMW18b
cat
dc.title
Bohr-Sommerfeld quantization of b-symplectic toric manifolds
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.4310/PAMQ.2023.v19.n4.a15
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess