On topological obstructions to the existence of non-periodic Wannier bases

DOI10.1063/5.0154734arXiv2304.00125OpenAlexW4392914983MaRDI QIDQ6203741

Yurii A. Kordyukov, Vladimir M. Manuilov

Publication date: 8 April 2024

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

Full work available at URL: https://arxiv.org/abs/2304.00125

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Complete metrics of bounded curvature on noncompact manifolds
• Singular homology and cohomology with local coefficients and duality for manifolds
• Amenability and uniform Roe algebras
• Coarse geometry and topological phases
• A notion of geometric complexity and its application to topological rigidity
• Localised module frames and Wannier bases from groupoid Morita equivalences
• Homology theory for locally compact spaces
• Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
• A coarse Mayer–Vietoris principle
• Good Wannier bases in Hilbert modules associated to topological insulators
• Infinite graphs—A survey
• Large-scale geometry obstructs localization

This page was built for publication: On topological obstructions to the existence of non-periodic Wannier bases