Spectral asymmetry of the massless Dirac operator on a 3-torus
DOI10.1063/1.4828858zbMath1288.81032arXiv1306.5689OpenAlexW1966927122MaRDI QIDQ5410934
Dmitri Vassiliev, Michael Levitin, Robert J. Downes
Publication date: 17 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.5689
Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Eta-invariants, Chern-Simons invariants (58J28) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
We Found 3 Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectral function of a first order elliptic system
- Eta invariants, signature defects of cusps, and values of L-functions
- Surgery and harmonic spinors
- The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
- The residue of the global eta function at the origin
- The \(\zeta\)-determinant and the additivity of the \(\eta\)-invariant on the smooth, self-adjoint Grassmannian
- Harmonic spinors
- Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
- Zeta and eta functions for Atiyah-Patodi-Singer operators
- Harmonic spinors and local deformations of the metric
- Spectral Asymmetry and Riemannian Geometry
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ3
- Spectral theoretic characterization of the massless Dirac operator
- The Dirac spectrum of Bieberbach manifolds
This page was built for publication: Spectral asymmetry of the massless Dirac operator on a 3-torus