Off-Diagonal Estimates of Partial Bergman Kernels on S1-symmetric Kahler Manifolds

被引：0

作者：

Shabtai, Ood ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2025年 / 35卷 / 06期

关键词：

Partial Bergman kernels; Equivariant Bergman kernels; Spectral projections; Geometric quantization; Quantum Hall effect; PARTIAL DENSITY-FUNCTIONS; TOEPLITZ-OPERATORS; ASYMPTOTICS; QUANTIZATION;

D O I：

10.1007/s12220-025-01997-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish local asymptotic estimates of partial Bergman kernels on closed, S-1-symmetric Kahler 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.

引用

页数：35

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