On the coefficients of the equivariant Szegő kernel asymptotic expansions

Abstract

Let $(X,T^{1,0}X)$ be a compact connected orientable strongly pseudoconvex CR manifold of dimension $2n+1$, $n\ge 1$. Assume that $X$ admits a connected compact Lie group $G$ action and a transversal CR $S^1$ action, we compute the coefficients of the first two lower order terms of the equivariant Szegő kernel asymptotic expansions with respect to the $S^1$ action.

22 pages

References in corpus (1)

• The second coefficient of the asymptotic expansion of the weighted Bergman kernel for $(0,q)$ forms on ${\mathbb{C}}^n$