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A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds

Hiroshi Takai
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Abstract

Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorphic to those on the dual modules associated with the dual noncommutative flows. Moreover the result is also affirmative in the case of multiflows. As an important application, computed are the moduli spaces of the instanton bundles over the noncommutative Euclidean 4-space with respect to the canonical action of space translations without using the ADHM-construction.

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Hiroshi Takai. 2005-02-08. A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds. https://arxiv.org/abs/hep-th/0410038

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