CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION

DOI10.1142/S0129055X11004370zbMath1279.58002arXiv1009.3738MaRDI QIDQ3087526

Alessandro Zampini, Giovanni Landi

Publication date: 16 August 2011

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3738

zbMATH Keywords

quantum groupsdifferential calculiconnectionsquantum spheresLaplacian operatorsHopf bundlesHodge star operators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32) Ring-theoretic aspects of quantum groups (16T20)

Related Items (10)

EXAMPLES OF HODGE LAPLACIANS ON QUANTUM SPHERES ⋮ Quantum principal bundles on projective bases ⋮ Noncommutative Kähler structures on quantum homogeneous spaces ⋮ Yang-Mills-scalar-matter fields in the quantum Hopf fibration ⋮ (A class of) Hodge duality operators over the quantum \(\mathrm{SU}(2)\) ⋮ Dirac operators on the S3 and S2 spheres ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Quantum bundle description of quantum projective spaces ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES

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