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<p>We establish local asymptotic estimates of partial Bergman kernels on closed, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_1997_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(S^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation>-symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points. The result admits an interpretation pertaining to correlations of edge modes in the quantum Hall effect.</p>

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Off-Diagonal Estimates of Partial Bergman Kernels on \(S^1\)-symmetric Kähler Manifolds

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Ood Shabtai

摘要

We establish local asymptotic estimates of partial Bergman kernels on closed, \(S^1\) S 1 -symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points. The result admits an interpretation pertaining to correlations of edge modes in the quantum Hall effect.