Analytic definition of spin structure

DOI10.1063/1.4995952zbMath1372.53051arXiv1611.08297OpenAlexW3105315274MaRDI QIDQ5357527

Yan-Long Fang, Zhirayr Avetisyan, Dmitri Vassiliev, Nikolai Saveliev

Publication date: 11 September 2017

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

Full work available at URL: https://arxiv.org/abs/1611.08297

zbMATH Keywords

gauge transformationsLorentzian 4-manifoldself-adjoint first-order linear differential operator

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (4)

Spectral analysis of the Dirac operator on a 3-sphere ⋮ Global propagator for the massless Dirac operator and spectral asymptotics ⋮ Classification of first order sesquilinear forms ⋮ Diagonalization of elliptic systems via pseudodifferential projections

Cites Work

• Spectral asymptotics for first order systems
• The topology of 4-manifolds
• Classification of oriented sphere bundles over a 4-complex
• Spin structures on manifolds
• Richtungsfelder und Fernparallelismus in \(n\)-dimensionalen Mannigfaltigkeiten
• SPECTRAL THEORETIC CHARACTERIZATION OF THE MASSLESS DIRAC ACTION
• Constructing Framed 4-Manifolds with Given Almost Framed Boundaries
• Analysis as a source of geometry: a non-geometric representation of the Dirac equation
• Spectral theoretic characterization of the massless Dirac operator
• Global Existence of Spin Structures for Gravitational Fields
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