On a minimum of Yang-Mills functional on quantum Heisenberg manifolds

Details On a minimum of Yang-Mills functional on quantum Heisenberg manifolds On a minimum of Yang-Mills functional on quantum Heisenberg manifolds

2009-07-02

arxiv.org/abs/0907.0465v4

Mathematics

Operator Algebras

13 pages, Final version

Scientific paper

In this paper, we study the Yang-Mills functional on quantum Heisenberg
manifolds using the appratuses developed by A. Connes and M. Rieffel. It is
discovered that a connection on a projective module over a quantum Heisenberg
manifold is a minimum of Yang-Mills functional whicih is a critical point that
is different with critical points found by S. Kang.

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