Elliptic theta functions and the fractional quantum Hall effect

DOI10.1016/S0393-0440(98)00002-3zbMath0941.14010OpenAlexW1981037557MaRDI QIDQ1299181

Juan Mateos Guilarte, Marina De La Torre Mayado, José María Muñoz Porras

Publication date: 13 August 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00002-3

zbMATH Keywords

Fourier-Mukai transformationelliptic theta functionsbundles on toriquantum Hall effectstwo-dimensional periodic lattices

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of plasmas (82D10) Relationships between algebraic curves and physics (14H81) Theta functions and curves; Schottky problem (14H42)

Related Items (4)

Remarks on the geometric quantization of Landau levels ⋮ Higher order addition laws on Abelian varieties and the fractional quantum Hall effect. ⋮ Fourier-Mukai transform and adiabatic curvature of spectral bundles for Landau Hamiltonians on Riemann surfaces ⋮ On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions

Cites Work

• Quantum Chern-Simons theory out of moduli space path integrals
• Topology and fractional quantum Hall effect
• An application of gauge theory to four dimensional topology
• Stable and unitary vector bundles on a compact Riemann surface
• On the equations defining Abelian varieties. I-III
• Duality between D(X) and with its application to picard sheaves
• Topological interpretations of quantum Hall conductance
• The noncommutative geometry of the quantum Hall effect
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