On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions

Chin Yu Hsiao; Rung Tzung Huang; Guokuan Shao

doi:10.1007/s12220-021-00776-0

On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions

Chin Yu Hsiao, Rung Tzung Huang, Guokuan Shao

Department of Mathematics

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

Abstract

Let (X, T^{1 , 0}X) be a compact connected orientable strongly pseudoconvex CR manifold of dimension 2 n+ 1 , n≥ 1. Assume that X admits a connected compact Lie group G action and a transversal CR S¹ action, we compute the coefficients of the first two lower-order terms of the equivariant Szegő kernel asymptotic expansions with respect to the S¹ action.

Original language	English
Article number	31
Journal	Journal of Geometric Analysis
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/s12220-021-00776-0
State	Published - Jan 2022

Keywords

CR manifold
Equivariant Szegő kernel
Moment map

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10.1007/s12220-021-00776-0

Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(2/2)
Huang, R.
1/08/19 → 31/07/21
Project: Research

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abstract = "Let (X, T1 , 0X) be a compact connected orientable strongly pseudoconvex CR manifold of dimension 2 n+ 1 , n≥ 1. Assume that X admits a connected compact Lie group G action and a transversal CR S1 action, we compute the coefficients of the first two lower-order terms of the equivariant Szeg{\H o} kernel asymptotic expansions with respect to the S1 action.",

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AU - Shao, Guokuan

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N2 - Let (X, T1 , 0X) be a compact connected orientable strongly pseudoconvex CR manifold of dimension 2 n+ 1 , n≥ 1. Assume that X admits a connected compact Lie group G action and a transversal CR S1 action, we compute the coefficients of the first two lower-order terms of the equivariant Szegő kernel asymptotic expansions with respect to the S1 action.

AB - Let (X, T1 , 0X) be a compact connected orientable strongly pseudoconvex CR manifold of dimension 2 n+ 1 , n≥ 1. Assume that X admits a connected compact Lie group G action and a transversal CR S1 action, we compute the coefficients of the first two lower-order terms of the equivariant Szegő kernel asymptotic expansions with respect to the S1 action.

KW - CR manifold

KW - Equivariant Szegő kernel

KW - Moment map

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On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions

Abstract

Keywords

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Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(2/2)

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