THE 3D SPIN GEOMETRY OF THE QUANTUM TWO-SPHERE
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Publication:3056444
DOI10.1142/S0129055X10004119zbMath1202.58005arXiv1003.2150OpenAlexW1991774339MaRDI QIDQ3056444
Publication date: 12 November 2010
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.2150
Related Items (7)
q-deformed fuzzy Ginsparg–Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere ⋮ (A class of) Hodge duality operators over the quantum \(\mathrm{SU}(2)\) ⋮ Construction of the Dirac operator on the \(q\)-deformed quantum space \(EAdS^2\) using a generalized \(q\)-deformed Ginsparg-Wilson algebra ⋮ Gauged Dirac operator on the q-deformed fuzzy Euclidean anti-de Sitter space using the pseudo-generalization of q-deformed Ginsparg–Wilson algebra ⋮ Differential and twistor geometry of the quantum Hopf fibration ⋮ Quantum bundle description of quantum projective spaces ⋮ CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION
Cites Work
- The spectral geometry of the equatorial Podleś sphere
- Gravity coupled with matter and the foundation of non-commutative geometry
- The Dirac operator on \(\text{SU}_{q}(2)\)
- Differential calculus on quantum spheres
- The isospectral Dirac operator on the 4-dimensional orthogonal quantum sphere
- Quantum spheres
- Commutator representations of differential calculi on the quantum group \(SU_q(2)\)
- Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
- The classification of differential structures on quantum 2-spheres
- Quantum and braided group Riemannian geometry
- Quantum group gauge theory on quantum spaces
- Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Geometry of quantum principal bundles. I
- Geometry of Quantum Principal Bundles II
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