Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds

Abstract

We establish local asymptotic estimates of partial Bergman kernels on closed, $S^1$-symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The case of the two-dimensional sphere is discussed in detail.

28 pages, 3 figures

References in corpus (1)

• Ergodic Edge Modes in the 4D Quantum Hall Effect

Cited by in corpus (1)

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