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arXiv · 1808.01927

Torus equivariant Szeg\H{o} kernel asymptotics on strongly pseudoconvex CR manifolds

Hendrik Herrmann·Chin-Yu Hsiao·Xiaoshan Li
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Abstract

Let $(X, T^{1,0}X)$ be a compact strongly pseudoconvex CR manifold of dimension $2n+1$. Assume that $X$ admits a Torus action $T^d$. In this work, we study the behavior of torus equivariant Szeg\H{o} kernels and prove that the weighted torus equivariant Szeg\H{o} kernels admit asymptotic expansions.

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Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li. 2018-07-27. Torus equivariant Szeg\H{o} kernel asymptotics on strongly pseudoconvex CR manifolds. https://arxiv.org/abs/1808.01927

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