Rung-Tzung Huang

activity

20062026

most citedThe refined analytic torsion and a well-posed boundary condition for the odd signature operator

9 citations · 28 across the 19 of their papers we have counts for

collaborators

Showing math.CVShow all

6 papers · 1 filter

math.CV2026

Quantization Commutes with Reduction for Embeddable CR Reductions

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaonan Ma +1

We prove a canonical quantization-commutes-with-reduction theorem for CR functions. Under the geometric hypotheses of Hsiao--Ma--Marinescu, if the zero moment level is nonempty and…

math.CV2023

$G$ -invariant Bergman kernel and geometric quantization on complex manifolds with boundary

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

Let $M$ be a complex manifold with boundary $X$ , which admits a holomorphic Lie group $G$ -action preserving $X$ . We establish a full asymptotic expansion for the $G$ -invariant Berg…

math.CV2020

Asymptotics of G-equivariant Szegő kernels

Rung-Tzung Huang, Guokuan Shao

Let $(X, T^{1, 0} X)$ be a compact connected orientable CR manifold of dimension $2 n + 1$ with non-degenerate Levi curvature. Assume that $X$ admits a connected compact Lie group $G$ a…

math.CV2020

On the coefficients of the equivariant Szegő kernel asymptotic expansions

Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao

Let $(X, T^{1, 0} X)$ be a compact connected orientable strongly pseudoconvex CR manifold of dimension $2 n + 1$ , $n \geq 1$ . Assume that $X$ admits a connected compact Lie group $G$ acti…

math.CV2018★ 1 cited

Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with $S^{1}$ -action

Rung-Tzung Huang, Guokuan Shao

Let $X$ be a compact connected CR manifold of dimension $2 n + 1, n \geq 1$ . Let $X$ be a paracompact CR manifold with a transversal CR $S^{1}$ -action, such that there is a…

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 $…