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

Hendrik Herrmann; Chin-Yu Hsiao; Xiaoshan Li

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

Complex Variables 2018-08-07 v1

Authors: Hendrik Herrmann , Chin-Yu Hsiao , Xiaoshan Li

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.

Keywords

cr manifolds strongly pseudoconvex torus action szegő kernel asymptotic expansion equivariant

Cite

@article{arxiv.1808.01927,
  title  = {Torus equivariant Szeg\H{o} kernel asymptotics on strongly pseudoconvex CR manifolds},
  author = {Hendrik Herrmann and Chin-Yu Hsiao and Xiaoshan Li},
  journal= {arXiv preprint arXiv:1808.01927},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1710.04910

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