Levi-Civita connections for a class of spectral triples
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Publication:1986556
DOI10.1007/s11005-019-01241-4zbMath1437.58007arXiv1809.06721OpenAlexW3102870965WikidataQ126789100 ScholiaQ126789100MaRDI QIDQ1986556
Debashish Goswami, Jyotishman Bhowmick, Sugato Mukhopadhyay
Publication date: 8 April 2020
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06721
Related Items (11)
Curvature of differentiable Hilbert modules and Kasparov modules ⋮ Levi-Civita connections on quantum spheres ⋮ Levi-Civita connections from toral actions ⋮ A new look at Levi-Civita connection in noncommutative geometry ⋮ Covariant connections on bicovariant differential calculus ⋮ Levi-Civita connections and vector fields for noncommutative differential calculi ⋮ On the Koszul formula in noncommutative geometry ⋮ Scalar curvature of a Levi-Civita connection on the Cuntz algebra with three generators ⋮ Riemannian geometry of a discretized circle and torus ⋮ Generalized symmetry in noncommutative (complex) geometry ⋮ Levi-Civita connections for conformally deformed metrics on tame differential calculi
Cites Work
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- Modular curvature and Morita equivalence
- Quantum isometry groups
- On the Chern-Gauss-Bonnet theorem for the noncommutative 4-sphere
- The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure
- *-compatible connections in noncommutative Riemannian geometry
- Quantum group of isometries in classical and noncommutative geometry
- An asymmetric noncommutative torus
- The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
- Hilbert modules in quantum electro dynamics and quantum probability
- Supersymmetric quantum theory and differential geometry
- Supersymmetric quantum theory and non-commutative geometry
- Levi-Civita connections on the quantum groups \(SL_ q(N), O_ q(N)\) and \(Sp_ q(N)\)
- Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
- Derivations as square roots of Dirichlet forms
- Geometry on the quantum Heisenberg manifold
- Modular curvature for toric noncommutative manifolds
- \(\theta\)-deformations as compact quantum metric spaces
- Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere
- Deformation quantization of Heisenberg manifolds
- Jones index theory for Hilbert \(C^*\)-bimodules and its equivalence with conjugation theory
- Yang-Mills connections on quantum Heisenberg manifolds
- Riemannian curvature of the noncommutative 3-sphere
- Spectral triples from bimodule connections and Chern connections
- Projections, modules and connections for the noncommutative cylinder
- Finite noncommutative geometries related to \(\mathbb{F}_p[x\)]
- Scalar curvature for noncommutative four-tori
- The Ricci curvature in noncommutative geometry
- Scalar curvature for the noncommutative two torus
- Levi-Civita's theorem for noncommutative tori
- The Gauss-Bonnet Theorem for the noncommutative two torus
- On noncommutative Levi-Civita connections
- Modular curvature for noncommutative two-tori
- Deformation quantization for actions of 𝑅^{𝑑}
- Levi-Civita connections for conformally deformed metrics on tame differential calculi
- On the Koszul formula in noncommutative geometry
- The term a_4 in the heat kernel expansion of noncommutative tori
- Curved noncommutative torus and Gauss–Bonnet
- Noncommutative manifolds, the instanton algebra and isospectral deformations
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