Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
Geometry and large N limits in Laughlin states
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
In these notes I survey geometric aspects of the lowest Landau level wave functions, integer quantum Hall state and Laughlin states on compact Riemann surfaces. In particular, I review geometric adiabatic transport on the moduli spaces, derivation of the electromagnetic and gravitational anomalies, Chern-Simons theory and adiabatic phase, and the relation to holomorphic line bundles, Quillen metric, regularized spectral determinants, bosonisation formulas on Riemann surfaces and asymptotic expansion of the Bergman kernel.
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UNVERDICTED 2representative citing papers
Sharp deviation inequalities are proved for linear statistics of the 2D Coulomb gas using complex geometry and potential theory on Riemann surfaces, extending to beta-ensembles and quantum Hall states.
citing papers explorer
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Chern classes of Laughlin bundles on the quasihole moduli space
Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
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Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I
Sharp deviation inequalities are proved for linear statistics of the 2D Coulomb gas using complex geometry and potential theory on Riemann surfaces, extending to beta-ensembles and quantum Hall states.