Discrete connection Laplacians

DOI10.1090/S0002-9939-08-09359-3zbMath1157.58010arXivmath/0609464OpenAlexW1983713153MaRDI QIDQ3533894

Svetoslav Zahariev

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609464

zbMATH Keywords

combinatorial Laplacianrough Laplaciandiscrete magnetic Laplacian on graphs

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Cites Work

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• The algebraic structure of cohomological field theory
• Discretization of vector bundles and rough Laplacian
• Superconnection character forms and the Cayley transform
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Analytic torsion and R-torsion of Riemannian manifolds
• Von Neumann spectra near the spectral gap
• Approximating spectral invariants of Harper operators on graphs
• Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators
• Discretization of compact Riemannian manifolds applied to the spectrum of Laplacian
• Harmonic functions and boundary value problems on a chain complex
• Finite-Difference Approach to the Hodge Theory of Harmonic Forms
• Existence of Universal Connections

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