Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds

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 Szegő kernels and prove that the weighted torus equivariant Szegő kernels admit asymptotic expansions.

arXiv admin note: text overlap with arXiv:1710.04910