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Gauge theory for spectral triples and the unbounded Kasparov product. (English) Zbl 1341.58007

The paper studies fiber bundles whose base is a commutative spectral triple while a fiber being an arbitrary spectral triple. The authors adapt an unbounded Kasparov’s \(KK\)-theory to the context of such fiber bundles. A series of helpful examples is considered throughout the paper. A draft of the paper is available at arXiv:1306.1951.

MSC:

58B34 Noncommutative geometry (à la Connes)
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
46L85 Noncommutative topology
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