I-Hsun Tsai

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math.DG2025

Spectral bundles on Abelian varieties, complex projective spaces and Grassmannians

Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai

In this paper we study the spectral analysis of Bochner-Kodaira Laplacians on an Abelian variety, complex projective space $P^{n}$ and a Grassmannian with a holomorphic li…

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…

Spectral bundles on Abelian varieties, complex projective spaces and Grassmannians

Heat kernel and local index theorem for open complex manifolds with C∗-action

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