Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces
Complex Variables
2019-09-04 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
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 neighbourhood 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.
Keywords
Cite
@article{arxiv.1612.09197,
title = {Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces},
author = {Dan Coman and Semyon Klevtsov and George Marinescu},
journal= {arXiv preprint arXiv:1612.09197},
year = {2019}
}
Comments
29 pages; v.2 is a final update to agree with the published paper