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arXiv · 1807.08239

Higher Nahm transform in non commutative geometry

Tsuyoshi Kato·Hirofumi Sasahira·Hang Wang
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Abstract

Anti-self-dual (ASD) connections for a compact smooth four manifold arise as critical values for the Yang-Mills action functional. Nahm transform is a nice correspondence between a vector bundle with ASD connections and a vector bundle with ASD connections over Picard torus associated to X. In this talk we propose a noncommutative geometric version of the Nahm transform that generalises the Connes-Yang-Mills action functional formulated using Dixmier trace.

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Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang. 2018-07-22. Higher Nahm transform in non commutative geometry. https://arxiv.org/abs/1807.08239

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