Classification of Connections on Higher-Dimensional Non-Commutative Tori

Rolf Dyre Svegstrup; Ryszard Nest

arxiv: 0712.1472 · v1 · submitted 2007-12-10 · 🧮 math.OA · math.DG· math.QA

Classification of Connections on Higher-Dimensional Non-Commutative Tori

Ryszard Nest , Rolf Dyre Svegstrup This is my paper

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keywords connectionsflatnon-commutativeadmittingattainsclassificationclassifyexactly

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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.

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Classification of Connections on Higher-Dimensional Non-Commutative Tori

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