Quantum Hall Effect and Noncommutative Geometry

DOI10.1007/978-3-030-37326-9_19OpenAlexW4205759121MaRDI QIDQ5051811

Armen Glebovich Sergeev

Publication date: 18 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37326-9_19

zbMATH Keywords

von Neumann algebranoncommutative geometryquantum Hall effectBloch theory

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70)

Cites Work

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• Quantum Hall effect on the hyperbolic plane
• Geometric invariants of the quantum Hall effect
• The noncommutative geometry of the quantum Hall effect
• Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory
• Towards the fractional quantum Hall effect: a noncommutative geometry perspective
• Twisted index theory on good orbifolds. II: Fractional quantum numbers

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