This paper presents an analysis of the set of connections and covariant derivatives on a U(1) quantum Hopf bundle on the standard Podles sphere, whose total space quantum SU(2) is equipped with the 3d left covariant differential calculus by Woronowicz. The introduction of a Hodge duality on the exterior algebras on both total and base space of the bundle allows for the study of Laplacians and of gauged Laplacians.
CITATION STYLE
Zampini, A. (2011). Laplacians and gauged Laplacians on a quantum Hopf bundle. In Quantum Groups and Noncommutative Spaces (pp. 164–240). Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9831-9_10
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