The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds

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dc.creatorKang, Sooran
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:09:19Z
dc.date.available2026-07-07T13:09:19Z
dc.descriptionIn 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0904.4291
dc.identifierhttp://arxiv.org/abs/0904.4291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228695
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L87; 58B34
dc.titleThe Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
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