Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

Dan Coman; Semyon Klevtsov; George Marinescu

doi:10.1512/iumj.2019.68.7589

Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

Dan Coman, Semyon Klevtsov, George Marinescu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider singular metrics on a punctured Riemann surface and on a line bundle, and study the behavior of the Bergman kernel in the neighborhood of the punctures. The results have an interpretation in terms of the asymptotic profile of the density-of-states function of the lowest Landau level in quantum Hall effect.

Original language	English (US)
Pages (from-to)	593-628
Number of pages	36
Journal	Indiana University Mathematics Journal
Volume	68
Issue number	2
DOIs	https://doi.org/10.1512/iumj.2019.68.7589
State	Published - 2019

Keywords

Bergman kernel function
Quantum Hall effect
Singular Hermitian metric

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2019.68.7589

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title = "Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces",

abstract = "We consider singular metrics on a punctured Riemann surface and on a line bundle, and study the behavior of the Bergman kernel in the neighborhood of the punctures. The results have an interpretation in terms of the asymptotic profile of the density-of-states function of the lowest Landau level in quantum Hall effect.",

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AU - Marinescu, George

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N2 - We consider singular metrics on a punctured Riemann surface and on a line bundle, and study the behavior of the Bergman kernel in the neighborhood of the punctures. The results have an interpretation in terms of the asymptotic profile of the density-of-states function of the lowest Landau level in quantum Hall effect.

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KW - Singular Hermitian metric

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Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

Abstract

Keywords

ASJC Scopus subject areas

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