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

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13 papers · 1 filter

math.DG2025

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…

math.DG2017

The anomaly formula of the analytic torsion on CR manifolds with $S^{1}$ action

Rung-Tzung Huang

Let $X$ be a compact connected strongly pseudoconvex CR manifold of dimension $2 n + 1, n \geq 1$ with a transversal CR $S^{1}$ -action on $X$ . In this paper we introduce the Quillen metri…

math.DG2017★ 4 cited

$G$ -invariant Szegö kernel asymptotics and CR reduction

Chin-Yu Hsiao, Rung-Tzung Huang

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 actio…

math.DG2016★ 3 cited

The asymptotics of the analytic torsion on CR manifolds with $S^{1}$ action

Chin-Yu Hsiao, Rung-Tzung Huang

Let $X$ be a compact connected strongly pseudoconvex CR manifold of dimension $2 n + 1, n \geq 1$ with a transversal CR $S^{1}$ -action on $X$ . We introduce the Fourier components of the…

math.DG2014

Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions

Rung-Tzung Huang, Yoonweon Lee

In [8] the authors introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of new boundary conditions to discuss the refi…

math.DG2013

The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions

Rung-Tzung Huang, Yoonweon Lee

The odd signature operator is a Dirac operator which acts on the space of differential forms of all degrees and whose square is the usual Laplacian. We extend the result of [15] to…