Chin-Yu Hsiao

activity

20122025

most citedThe second coefficient of the asymptotic expansion of the weighted Bergman kernel for

(0, q)

forms on

C^{n}

5 citations · 6 across the 8 of their papers we have counts for

collaborators

17 papers

math.CV2025

On the distribution kernels of Toeplitz operators on CR manifolds

Chin-Yu Hsiao, Ood Shabtai

We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The mai…

math.CV2025

Approximation of pseudohermitian structures via embeddings into spheres

Hendrik Herrmann, Chin-Yu Hsiao, Bernhard Lamel

Let $(X, T^{1, 0} X)$ be a compact strictly pseudoconvex CR manifold which is CR embeddable into the complex Euclidean space. We show that $T^{1, 0} X$ can be approximated in $\mathscr{…

math.CV2024

On the second coefficient in the semi-classical expansion of Toeplitz Operators

Chin-Chia Chang, Hendrik Herrmann, Chin-Yu Hsiao

Let $X$ be a compact strictly pseudoconvex embeddable CR manifold and let $A$ be the Toeplitz operator on $X$ associated with a Reeb vector field $\mathcal{T}\in\mathscr{C}^\infty(…

math.DG2024

Heat kernel and local index theorem for open complex manifolds with $C^{*}$ -action

Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai

For a complex manifold $Σ$ with $C^{*}$ -action, we define the $m$ -th $C^{*}$ Fourier-Dolbeault cohomology group and consider the $m$ -index on $Σ$ . By appl…

math.CV2024

Quantization and reduction for torsion free CR manifolds

Andrea Galasso, Chin-Yu Hsiao

Consider a compact torsion free CR manifold $X$ and assume that $X$ admits a compact CR Lie group action $G$ . Let $L$ be a $G$ -equivariant rigid CR line bundle over $X$ . It seems n…

math.DG2022

Embedding theorems for quantizable pseudo-Kähler manifolds