Calculi, Hodge operators and Laplacians on a quantum Hopf fibration
We describe Laplacian operators on the quantum group SUq (2) equipped with the four-
dimensional bicovariant differential calculus of Woronowicz as well as on the quantum
homogeneous space with the restricted left covariant three-dimensional differential calculus.
This is done by giving a family of Hodge dualities on both the exterior algebras of SUq (2)
and. We also study gauged Laplacian operators acting on sections of line bundles over the
quantum sphere.
dimensional bicovariant differential calculus of Woronowicz as well as on the quantum
homogeneous space with the restricted left covariant three-dimensional differential calculus.
This is done by giving a family of Hodge dualities on both the exterior algebras of SUq (2)
and. We also study gauged Laplacian operators acting on sections of line bundles over the
quantum sphere.
We describe Laplacian operators on the quantum group SUq(2) equipped with the four-dimensional bicovariant differential calculus of Woronowicz as well as on the quantum homogeneous space with the restricted left covariant three-dimensional differential calculus. This is done by giving a family of Hodge dualities on both the exterior algebras of SUq(2) and . We also study gauged Laplacian operators acting on sections of line bundles over the quantum sphere.
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