Xiaoshan Li

activity

20122026

most cited

S^{1}

-equivariant Index theorems and Morse inequalities on complex manifolds with boundary

7 citations · 34 across the 18 of their papers we have counts for

collaborators

Showing 2022 · math.CVShow all

2 papers · 2 filters

math.CV2022★ 2 cited

On Bergman kernel functions and weak Morse inequalities

Xiaoshan Li, Guokuan Shao, Huan Wang

We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, $q$ -convex manifolds, pseudoconvex domains, weakly $1$ -complete manifolds and coveri…

math.CV2022

Semi-classical asymptotics of partial Bergman kernels on $R$ -symmetric complex manifolds with boundary

Chin-Yu Hsiao, Xiaoshan Li, George Marinescu

Let $M$ be a relatively compact connected open subset with smooth connected boundary of a complex manifold $M^{'}$ . Let $(L, h^{L}) \to M^{'}$ be a positive line bundle over $M^{'}$ . Su…

On Bergman kernel functions and weak Morse inequalities

Semi-classical asymptotics of partial Bergman kernels on R-symmetric complex manifolds with boundary

Semi-classical asymptotics of partial Bergman kernels on $R$ -symmetric complex manifolds with boundary