72 citations · 201 across the 51 of their papers we have counts for
9 papers · 1 filter
Heat kernel asymptotics and analytic torsion on non-degenerate CR manifolds
Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao
The existence of small-time asymptotics for the heat kernel of the Kohn Laplacian on a general CR manifold has remained an open problem. In this paper, we resolve the problem in th…
Heat kernel and local index theorem for open complex manifolds with -action
Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai
For a complex manifold with -action, we define the -th Fourier-Dolbeault cohomology group and consider the -index on . By appl…
Embedding theorems for quantizable pseudo-Kähler manifolds
Andrea Galasso, Chin-Yu Hsiao
Given a compact quantizable pseudo-Kähler manifold of constant signature, there exists a Hermitian line bundle over with curvature . We shall show that…
-invariant Szegö kernel asymptotics and CR reduction
Chin-Yu Hsiao, Rung-Tzung Huang
Let be a compact connected orientable CR manifold of dimension with non-degenerate Levi curvature. Assume that admits a connected compact Lie group actio…
The asymptotics of the analytic torsion on CR manifolds with action
Chin-Yu Hsiao, Rung-Tzung Huang
Let be a compact connected strongly pseudoconvex CR manifold of dimension with a transversal CR -action on . We introduce the Fourier components of the…
Extremal metrics for the -curvature in three dimensions
Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang
We construct contact forms with constant -curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivi…
Extremal metrics for the -curvature in three dimensions
Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang
We construct contact forms with constant -curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivi…
Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with action
Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai
Among those transversally elliptic operators initiated by Atiyah and Singer, Kohn's operator on CR manifolds with action is a natural one of geometric significance f…
Berezin-Toeplitz quantization for lower energy forms
Chin-Yu Hsiao, George Marinescu
Let be an arbitrary complex manifold and let be a Hermitian holomorphic line bundle over . We introduce the Berezin-Toeplitz quantization of the open set of where th…