Higher Nahm transform in non commutative geometry
Operator Algebras
2018-07-24 v1 Differential Geometry
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1807.08239,
title = {Higher Nahm transform in non commutative geometry},
author = {Tsuyoshi Kato and Hirofumi Sasahira and Hang Wang},
journal= {arXiv preprint arXiv:1807.08239},
year = {2018}
}
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26 pages