On the hyperbolic Bloch transform

DOI10.1007/s00023-023-01336-8arXiv2208.02749OpenAlexW4381332899MaRDI QIDQ6122831

Ákos Nagy, Steven Rayan

Publication date: 1 March 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02749

zbMATH Keywords

Fuchsian groupcrystalsBloch's theorem

Mathematics Subject Classification ID

Crystalline structure (74E15) Harmonic analysis on homogeneous spaces (43A85) PDEs in connection with quantum mechanics (35Q40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Noncommutative geometry in quantum theory (81R60) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• The symplectic nature of fundamental groups of surfaces
• Hyperbolic band theory through Higgs bundles
• Bootstrapping closed hyperbolic surfaces
• Random unitary representations of surface groups. I: Asymptotic expansions
• Noncommutative Bloch theory
• Generalized Bloch analysis and propagators on Riemannian manifolds with a discrete symmetry
• TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY
• The Yang-Mills equations over Riemann surfaces
• Functional Analysis

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