Classification of Connections on Higher-Dimensional Non-Commutative Tori

dc.creatorNest, Ryszard
dc.creatorSvegstrup, Rolf Dyre
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:48:16Z
dc.date.available2026-07-07T08:48:16Z
dc.descriptionIf X is a full, finitely generated, projective module over a non-commutative torus, the Yang-Mills functional attains its minimum exactly on the flat connections on X. We classify the flat connections on modules admitting integrable connections.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0712.1472
dc.identifierhttp://arxiv.org/abs/0712.1472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143888
dc.subjectOperator Algebras
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject46L87
dc.titleClassification of Connections on Higher-Dimensional Non-Commutative Tori
dc.typetext

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