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28 March 2024
 
  » arxiv » 0904.4291

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The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
Sooran Kang ;
Date 28 Apr 2009
AbstractIn this paper, we discuss the Yang-Mills functional and a certain family of its critical points on quantum Heisenberg manifolds using noncommutative geometrical methods developed by A. Connes and M. Rieffel. In our main result, we construct a certain family of connections on a projective module over a quantum Heisenberg manifold that give rise to critical points of the Yang-Mills functional. Moreover, we show that this set of solutions can be described as a set of solutions to Laplace’s equation on quantum Heisenberg manifolds.
Source arXiv, 0904.4291
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