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arXiv · 1308.4738

Dirac operators on noncommutative principal torus bundles

Alessandro Zucca·Ludwik Dabrowski
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Abstract

Spectral triples over noncommutative principal $\T^n$-bundles are studied, extending recent results about the noncommutative geometry of principal U(1)-bundles. We relate the noncommutative geometry of the total space of the bundle with the geometry of the base space. Moreover, strong connections are used to build new Dirac operators. We discuss as a particular case the commutative case, the noncommutative tori and theta deformed manifolds.

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BibTeXRIS

Alessandro Zucca, Ludwik Dabrowski. 2013-08-21. Dirac operators on noncommutative principal torus bundles. https://arxiv.org/abs/1308.4738

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