Classification of Connections on Higher-Dimensional Non-Commutative Tori

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If 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.
13 pages

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Operator Algebras, Differential Geometry, Quantum Algebra, 46L87

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http://salesiana.dossiersoluciones.com/handle/123456789/143888

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1472
 http://arxiv.org/abs/0712.1472

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arXiv