Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds

2018/07/27 by Herrmann, Hendrik, Hsiao, Chin-Yu, Li, Xiaoshan
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.01927

Abstract

Let (X, T^1,0X) 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 Szegő kernels and prove that the weighted torus equivariant Szegő kernels admit asymptotic expansions.

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