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Torus Equivariant Szegő Kernel Asymptotics on Strongly Pseudoconvex CR Manifolds

Hendrik Herrmann , $icon-email$ Chin-Yu Hsiao , Xiaoshan Li

Abstract

Let (X,T^{1,0}X) be a compact strongly pseudoconvex CR manifold of dimension $2 n + 1$ . Assume that a $d$ -dimensional torus $T^{d}$ acts on $X$ . 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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Torus Equivariant Szegő Kernel Asymptotics on Strongly Pseudoconvex CR Manifolds

Abstract