Quantum Fibre Bundles. An Introduction

Brzeziński, Tomasz

doi:10.4064/-39-1-211-223

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Vertical Subspaces On the Quantum Hopf Bundle The Right Coa1

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2011

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“…The monopole connection corresponds to the choice U = V = 0 ⇔ a = 0, so to have Π 0 (ω z ) = ω z and the monopole connection 1-form ω 0 (z j ) = [(1 − q −2j )/(1 − q −2 )]ω z [5,9]. With a connection, one has the notion of covariant derivative D : A(SU q (2)) → Ω 1 (A(SU q (2))) of equivariant maps.…”

Section: Vertical Subspaces On the Quantum Hopf Bundle The Right Coamentioning

confidence: 99%

Laplacians and gauged Laplacians on a quantum Hopf bundle

Zampini

2011

Quantum Groups and Noncommutative Spaces

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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 quantum sphere S 2 q , whose total space algebra SUq (2) is equipped with the 3d left covariant differential calculus by Woronowicz. The introduction of a Hodge duality on both Ω(SUq(2)) and on Ω(S 2 q ) allows for the study of Laplacians and of gauged Laplacians.This paper is dedicated to Sergio Albeverio, on the occasion of his 70th birthday.

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Section: Vertical Subspaces On the Quantum Hopf Bundle The Right Coamentioning

confidence: 99%