DIRAC OPERATOR IN MATRIX GEOMETRY

DOI10.1142/S0219887805000636zbMath1074.81027arXivmath-ph/0502001OpenAlexW2006721844WikidataQ62399357 ScholiaQ62399357MaRDI QIDQ5311637

Ivan G. Avramidi

Publication date: 23 August 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0502001

zbMATH Keywords

Dirac operatorEinstein-Hilbert actionmatrix geometrynon-commutative metric

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of global differential geometry to the sciences (53C80) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (5)

The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry ⋮ Heat coefficient \(a_4\) for non minimal Laplace type operators ⋮ Geometric invariants of spectrum of the Navier-Lamé operator ⋮ Brownian motion and Riemannian geometry in the neighbourhood of a submanifold ⋮ FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS

Cites Work

• A noncommutative deformation of general relativity
• A discrete leading symbol and spectral asymptotics for natural differential operators
• HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART
• Matrix general relativity: a new look at old problems
• COVARIANT TECHNIQUES FOR COMPUTATION OF THE HEAT KERNEL
• Heat Kernel and Quantum Gravity
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