Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections

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dc.contributor.authorHuang, L.
dc.date.accessioned2025-11-26T11:33:07Z
dc.date.issued2018
dc.description.abstractWe build metrized quantum vector bundles over a generically transcendental quantum torus, from Riemannian metrics, using Rosenberg's Levi-Civita connections for these metrics. We also prove that two metrized quantum vector bundles, corresponding to positive scalar multiples of a Riemannian metric, have distance zero between them with respect to the modular Gromov-Hausdorff propinquity.
dc.description.sponsorshipThe author wishes to thank Konrad Aguilar and Frédéric Latrémolière for their generous help on the Gromov–Hausdorff propinquity. The author also wishes to thank Albert Sheu for his help in understanding Rosenberg’s work on Levi-Civita connections. The warmest gratitude is reserved for the referees who offered valuable advice on how to significantly improve the quality of this paper.
dc.identifier.citationMetrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections / L. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 14 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.079
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 46L08; 46L57; 46L87; 37A55; 58B34
dc.identifier.otherarXiv: 1803.04036
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209771
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleMetrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік