Differential forms and the noncommutative residue
From MaRDI portal
Publication:958981
DOI10.1016/J.GEOMPHYS.2008.08.004zbMath1151.53313arXivmath/0211361OpenAlexW2004261835WikidataQ115353375 ScholiaQ115353375MaRDI QIDQ958981
Publication date: 10 December 2008
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211361
Pseudodifferential operators as generalizations of partial differential operators (35S05) Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34)
Related Items (13)
The general Kastler-Kalau-Walze type theorems about Witten deformation ⋮ The Kastler-Kalau-Walze type theorem about Witten deformation for manifolds with boundary ⋮ Gravity and the noncommutative residue for manifolds with boundary ⋮ The Kastler-Kalau-Walze type theorems for the perturbation of the de Rham Hodge operator ⋮ A Kastler-Kalau-Walze type theorem for the \(J\)-twist \(D_J\) of the Dirac operator ⋮ The J-twist DJ of the Dirac operator and the Kastler–Kalau–Walze type theorem for six-dimensional manifolds with boundary ⋮ An equivariant Kastler–Kalau–Walze type theorem ⋮ The noncommutative residue about Witten deformation ⋮ Differential forms and the noncommutative residue ⋮ Differential forms and the Wodzicki residue for manifolds with boundary. ⋮ Gravity, Robertson-Walker metric and the Wodzicki residue ⋮ A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation ⋮ Nonminimal operators and non-commutative residue
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A construction of critical GJMS operators using Wodzicki's residue
- Differential forms and the noncommutative residue for manifolds with boundary in the non-product case
- Differential forms and the noncommutative residue
- Algebraic aspects of nonlinear differential equations
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- A nonperturbative form of the spectral action principle in noncommutative geometry
- Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes
- The volume of a small geodesic ball of a Riemannian manifold
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- Some conformal invariants from the noncommutative residue for manifolds with boundary
- Differential forms and the Wodzicki residue for manifolds with boundary.
- Conformally convariant equations on differential forms
- Conformally Invariant Powers of the Laplacian, I: Existence
- Differential operators cononically associated to a conformal structure.
This page was built for publication: Differential forms and the noncommutative residue