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arXiv · 2009.10529

On the coefficients of the equivariant Szeg\H{o} kernel asymptotic expansions

Chin-Yu Hsiao·Rung-Tzung Huang·Guokuan Shao
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Abstract

Let $(X, T^{1,0}X)$ be a compact connected orientable strongly pseudoconvex CR manifold of dimension $2n+1$, $n\geq1$. Assume that $X$ admits a connected compact Lie group $G$ action and a transversal CR $S^1$ 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 $S^1$ action.

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Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao. 2020-09-19. On the coefficients of the equivariant Szeg\H{o} kernel asymptotic expansions. https://arxiv.org/abs/2009.10529

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