Modular Gaussian curvature

DOI10.1007/978-3-030-29597-4_8zbMath1443.58008arXiv1810.10394OpenAlexW2896256957MaRDI QIDQ3297179

Matthias Lesch, Henri Moscovici

Publication date: 3 July 2020

Published in: Advances in Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.10394

zbMATH Keywords

noncommutative torusGaussian curvaturespectral triple

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Curvature of differentiable Hilbert modules and Kasparov modules ⋮ Spectral metric and Einstein functionals ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results

Cites Work

• Modular curvature and Morita equivalence
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• Extremals of determinants of Laplacians
• C*-algebras associated with irrational rotations
• The local index formula in noncommutative geometry
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• On the spectral characterization of manifolds
• Scalar curvature for the noncommutative two torus
• Fourier integral operators. I
• On the heat equation and the index theorem
• Analytic torsion for complex manifolds
• The Gauss-Bonnet Theorem for the noncommutative two torus
• Modular curvature for noncommutative two-tori
• An algebra of pseudo‐differential operators
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
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