COMMUTATIVE GEOMETRIES ARE SPIN MANIFOLDS

DOI10.1142/S0129055X01000673zbMath1033.58024arXivmath-ph/9903021OpenAlexW2059886101MaRDI QIDQ4418287

Adam Rennie

Publication date: 7 August 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/9903021

zbMATH Keywords

noncommutative geometryHochschild homology\(C^*\)-algebrasspin geometryspectral triples

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (3)

Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces ⋮ Limits and degenerations of unitary conformal field theories ⋮ Field theories on deformed spaces

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Local invariants of spectral asymmetry
• Cycles and relative cycles in analytic K-homology
• The action functional in non-commutative geometry
• Supersymmetric quantum theory and differential geometry
• The Dirac operator and gravitation
• Gravity, non-commutative geometry and the Wodzicki residue
• Geometry from the spectral point of view
• The local index formula in noncommutative geometry
• Noncommutative geometry and reality
• K-THEORY AND REALITY
• Compact metric spaces, Fredholm modules, and hyperfiniteness

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