Classification of Connections on Higher-Dimensional Non-Commutative Tori
Operator Algebras
2007-12-11 v1 Differential Geometry
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0712.1472,
title = {Classification of Connections on Higher-Dimensional Non-Commutative Tori},
author = {Ryszard Nest and Rolf Dyre Svegstrup},
journal= {arXiv preprint arXiv:0712.1472},
year = {2007}
}
Comments
13 pages