Dirac operators on noncommutative principal torus bundles
Quantum Algebra
2013-08-23 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
Spectral triples over noncommutative principal -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.
Cite
@article{arxiv.1308.4738,
title = {Dirac operators on noncommutative principal torus bundles},
author = {Alessandro Zucca and Ludwik Dabrowski},
journal= {arXiv preprint arXiv:1308.4738},
year = {2013}
}
Comments
19 pages