Asymptotics of torus equivariant Szegő kernel on a compact CR manifold [article]

Wei-Chuan Shen
2019 arXiv   pre-print
For a compact CR manifold (X,T^1,0X) of dimension 2n+1, n≥ 2, admitting a S^1× T^d action, if the lattice point (-p_1,...,-p_d)∈Z^d is a regular value of the associate CR moment map μ, then we establish the asymptotic expansion of the torus equivariant Szegő kernel Π^(0)_m,mp_1,...,mp_d(x,y) as m→ +∞ under certain assumptions of the positivity of Levi form and the torus action on Y:=μ^-1(-p_1,...,-p_d).
arXiv:1910.01827v1 fatcat:imsw23umgrflpk6uqbr2tdzhcu