A Kastler-Kalau-Walze type theorem for 7-dimensional spin manifolds with boundary about Dirac operators with torsion

DOI10.1016/j.geomphys.2016.08.005zbMath1351.53062OpenAlexW2510794540MaRDI QIDQ335822

Ai Hui Sun, Jian Wang, Kai Hua Bao

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.08.005

zbMATH Keywords

Dirac operators with torsionlower-dimensional volumesnoncommutative residue for manifolds with boundary

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27)

Related Items (2)

The general Kastler-Kalau-Walze type theorems about Witten deformation ⋮ A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation

Cites Work

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• On gravity, torsion and the spectral action principle
• Local invariants of spectral asymmetry
• Gravity and the noncommutative residue for manifolds with boundary
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The Dirac operator and gravitation
• A Kastler-Kalau-Walze type theorem for 7-dimensional manifolds with boundary
• Gravity, non-commutative geometry and the Wodzicki residue
• A generalized Lichnerowicz formula, the Wodzicki residue and gravity
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Chiral asymmetry and the spectral action
• Dirac operators with torsion and the noncommutative residue for manifolds with boundary
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• Differential forms and the Wodzicki residue for manifolds with boundary.
• The noncommutative residue for manifolds with boundary
• A note on the Wodzicki residue
• Lower-Dimensional Volumes and Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary
• A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.
• The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary
• A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary

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