Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue

DOI10.1063/5.0160917zbMath1529.58010arXiv2308.00833OpenAlexW4387940964MaRDI QIDQ6087437

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Publication date: 12 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.00833

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Space-time singularities, cosmic censorship, etc. (83C75) Noncommutative global analysis, noncommutative residues (58J42)

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
• The action functional in non-commutative geometry
• A local index theorem for non-Kähler manifolds
• The Dirac operator and gravitation
• 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
• Differential forms and the Wodzicki residue for manifolds with boundary.
• The noncommutative residue for manifolds with boundary
• A note on the Wodzicki residue
• Trace expansions and the noncommutative residue for manifolds with boundary
• Nonminimal operators and non-commutative residue
• Lower-Dimensional Volumes and Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary
• Heat kernel for nonminimal operators on a Kähler manifold
• Particle models and noncommutative geometry
• Spectral metric and Einstein functionals

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