Applications of noncommutative geometry in function theory and mathematical physics
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Publication:4985019
DOI10.1090/mosc/307zbMath1470.30035OpenAlexW3135912631MaRDI QIDQ4985019
Publication date: 21 April 2021
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mosc/307
quantum Hall effectSchatten-von Neumann classesoperator calculusquantization of the universal Teichmüller space
Noncommutative geometry in quantum theory (81R60) Teichmüller theory for Riemann surfaces (30F60) Noncommutative geometry (à la Connes) (58B34)
Related Items (2)
On mathematical aspects of the theory of topological insulators ⋮ On mathematical problems in the theory of topological insulators
Cites Work
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- Lectures on universal Teichmüller space
- Magnetic Bloch theory and noncommutative geometry
- Universal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds
- Hausdorff dimension of quasi-circles
- Unitary representations of some infinite dimensional groups
- Ordinary differential equations and quasiconformal mappings
- Quantum Hall effect on the hyperbolic plane
- Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
- Geometric invariants of the quantum Hall effect
- Schatten classes and commutators of singular integral operators
- Quantum calculus and ideals in the algebra of compact operators
- In search of infinite-dimensional Kähler geometry
- The noncommutative geometry of the quantum Hall effect
- Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory
- Quantum Differentials and Function Spaces
- Towards the fractional quantum Hall effect: a noncommutative geometry perspective
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