On the second coefficient of the asymptotic expansion of Boutet de Monvel--Sjöstrand

no code implementations • 31 Dec 2020 • Chin-Yu Hsiao, Wei-Chuan Shen

In this paper, we calculate the second coefficient of the asymptotic expansion of Boutet de Monvel--Sj\"ostrand.

Complex Variables

Szegő kernel asymptotics on some non-compact complete CR manifolds

no code implementations • 21 Dec 2020 • Chin-Yu Hsiao, George Marinescu, Huan Wang

We establish Szeg\H{o} kernel asymptotic expansions on non-compact strictly pseudoconvex complete CR manifolds with transversal CR $\mathbb{R}$-action under certain natural geometric conditions.

Complex Variables Differential Geometry

Geometric quantization on CR manifolds

no code implementations • 13 Jun 2019 • Chin-Yu Hsiao, Xiaonan Ma, George Marinescu

Let $X$ be a compact connected orientable CR manifold of dimension greater than five with the action of a connected compact Lie group $G$.

Complex Variables Differential Geometry