Spectral metric and Einstein functionals
From MaRDI portal
Publication:6098438
DOI10.1016/j.aim.2023.109128arXiv2206.02587MaRDI QIDQ6098438
Paweł Zalecki, Andrzej Sitarz, Ludwik Dąbrowski
Publication date: 13 June 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02587
Noncommutative differential geometry (46L87) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)
Related Items (3)
The spectral Einstein functional and Kastler-Kalau-Walze type theorems ⋮ Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue ⋮ The Dabrowski-Sitarz-Zalecki type theorems for six dimensional manifolds with boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modular curvature and Morita equivalence
- The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure
- Gravity, non-commutative geometry, and the Wodzicki residue
- Gravity coupled with matter and the foundation of non-commutative geometry
- Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results
- An asymmetric noncommutative torus
- Supersymmetric quantum theory and non-commutative geometry
- The Dirac operator and gravitation
- On twisted reality conditions
- Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori
- Noncommutative residues for pseudo-differential operators on the noncommutative two-torus
- Gravity, non-commutative geometry and the Wodzicki residue
- The local index formula in noncommutative geometry
- A closed formula for the Riemann normal coordinate expansion.
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- Regularity of twisted spectral triples and pseudodifferential calculi
- 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 canonical trace and the noncommutative residue on the noncommutative torus
- The Gauss-Bonnet Theorem for the noncommutative two torus
- Pseudo-differential Operators and Regularity of Spectral Triples
- Modular curvature for noncommutative two-tori
- Curvature in noncommutative geometry
- Modular Gaussian curvature
- Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature
- Optimal constants in non-commutative Hölder inequality for quasi-norms
- Levi-Civita connections for conformally deformed metrics on tame differential calculi
- Singular integrals in quantum Euclidean spaces
- Noncommutative and Supercommutative Geometries
- The term a_4 in the heat kernel expansion of noncommutative tori
- Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
- Pseudodifferential calculus on noncommutative tori, II. Main properties
- Quantum Riemannian Geometry
- On the scalar curvature for the noncommutative four torus
- Curved noncommutative torus and Gauss–Bonnet
- Can One Hear the Shape of a Drum?
This page was built for publication: Spectral metric and Einstein functionals