Guokuan Shao

activity

20152026

most cited

S^{1}

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

7 citations · 11 across the 14 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.CV2017★ 7 cited

$S^{1}$ -equivariant Index theorems and Morse inequalities on complex manifolds with boundary

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaoshan Li +1

Let $M$ be a complex manifold of dimension $n$ with smooth connected boundary $X$ . Assume that $M$ admits a holomorphic $S^{1}$ -action preserving the boundary $X$ and the $…

math.CV2017

Equidistribution theorems on strongly pseudoconvex domains

Chin-Yu Hsiao, Guokuan Shao

This work consists of two parts. In the first part, we consider a compact connected strongly pseudoconvex CR manifold $X$ with a transversal CR $S^{1}$ action. We establish an equi…

math.CV2017

Convergence speed of weighted Bergman kernels towards extremal functions

Guokuan Shao

We construct inner products by the Bernstein-Markov inequality on spaces of holomorphic sections of high powers of a line bundle. The corresponding weighted Bergman kernel function…

S1-equivariant Index theorems and Morse inequalities on complex manifolds with boundary

Equidistribution theorems on strongly pseudoconvex domains

Convergence speed of weighted Bergman kernels towards extremal functions

$S^{1}$ -equivariant Index theorems and Morse inequalities on complex manifolds with boundary