Moduli Spaces of Instantons on Noncommutative 4-Manifolds

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Studied are moduli spaces of self dual or anti-self dual connections on noncommutative 4-manifolds, especially deformation quantization of compact spin Riemannian 4-manifolds and their isometry groups have 2-torus subgroup. Then such moduli spaces of irreducible modules associated with highestweights of compact connected semisimple Lie groups are smooth manifolds with dimension determined by their weights. This is a generalization of Atiyah-Hitchin-Singer's classical result as well as Landi-Suijlekom's noncommutative 4-sphere case.
Latex 16 pages

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Differential Geometry, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/124195

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610536
 http://arxiv.org/abs/math/0610536

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arXiv