SPECTRAL THEORETIC CHARACTERIZATION OF THE MASSLESS DIRAC ACTION

DOI10.1112/S0025579315000509zbMath1365.35097arXiv1401.1951OpenAlexW1510091039MaRDI QIDQ2827911

Robert J. Downes, Dmitri Vassiliev

Publication date: 21 October 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1951

zbMATH Keywords

asymptotic expansioneigenvalue counting functionfirst order elliptic differential operatormassless Dirac action

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) First-order elliptic systems (35J46) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)

Related Items (2)

Spectral analysis of the Dirac operator on a 3-sphere ⋮ Analytic definition of spin structure

Cites Work

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• The spectral function of a first order elliptic system
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Fourier integral operators. II
• Spectral asymmetry and Riemannian geometry. III
• Spectral theoretic characterization of the massless Dirac operator
• The stationary Weyl equation and Cosserat elasticity

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