Gravity, non-commutative geometry and the Wodzicki residue

DOI10.1016/0393-0440(94)00032-YzbMath0826.58008arXivgr-qc/9312031MaRDI QIDQ1894596

M. Walze, W. Kalau

Publication date: 2 August 1995

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9312031

zbMATH Keywords

gravityDirac operatornon-commutative geometryWodzicki residue

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45)

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Cites Work

• Local invariants of spectral asymmetry
• The action functional in non-commutative geometry
• Gravity in non-commutative geometry
• Connes' noncommutative differential geometry and the standard model
• Differential algebras in non-commutative geometry
• A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.
• NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
• Particle models and noncommutative geometry
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