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arXiv · 1003.5598

Laplacians and gauged Laplacians on a quantum Hopf bundle

Alessandro Zampini
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Abstract

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.

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BibTeXRIS

Alessandro Zampini. 2010-03-29. Laplacians and gauged Laplacians on a quantum Hopf bundle. https://arxiv.org/abs/1003.5598

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