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Torus Equivariant Szegő Kernel Asymptotics on Strongly Pseudoconvex CR Manifolds
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 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.