On the space of connections having non-trivial twisted harmonic spinors

DOI10.1063/1.4931368zbMath1322.81048arXiv1506.04236OpenAlexW1942382507MaRDI QIDQ3192731

Francesco Bei, Nils Waterstraat

Publication date: 13 October 2015

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

Full work available at URL: https://arxiv.org/abs/1506.04236

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• A remark on the space of metrics having nontrivial harmonic spinors
• Extremality for the Vafa-Witten bound on the sphere
• On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds
• The Dirac spectrum
• Desuspension of splitting elliptic symbols. I
• An optimal inequality between scalar curvature and spectrum of the Laplacian
• A family index theorem for periodic Hamiltonian systems and bifurcation
• Metrics with harmonic spinors
• Spectral asymmetry and Riemannian geometry. III
• The spectrum of twisted Dirac operators on compact flat manifolds

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