EXAMPLES OF HODGE LAPLACIANS ON QUANTUM SPHERES

DOI10.1142/S0219887812600092zbMath1253.81077arXiv1109.1529OpenAlexW2963461082MaRDI QIDQ2911921

Alessandro Zampini

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1529

zbMATH Keywords

quantum spheresLaplaciansHodge operators

Mathematics Subject Classification ID

Geometry of quantum groups (58B32) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES

Cites Work

• Gauged Laplacians on quantum Hopf bundles
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• The classification of differential structures on quantum 2-spheres
• Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere
• Differential calculus on compact matrix pseudogroups (quantum groups)
• CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION
• Quantum groups, differential calculi and the eigenvalues of the Laplacian
• Classification of left-covariant differential calculi on the quantum group SL\(_q(2)\)