# The asymptotics of the analytic torsion on CR manifolds with S 1 action

Chin Yu Hsiao, Rung Tzung Huang

1 引文 斯高帕斯（Scopus）

## 摘要

Let X be a compact connected strongly pseudoconvex CR manifold of dimension 2n + 1, n ≥ 1 with a transversal CR S1-action on X. We introduce the Fourier components of the Ray-Singer analytic torsion on X with respect to the S1-action. We establish an asymptotic formula for the Fourier components of the analytic torsion with respect to the S1-action. This generalizes the asymptotic formula of Bismut and Vasserot on the holomorphic Ray-Singer torsion associated with high powers of a positive line bundle to strongly pseudoconvex CR manifolds with a transversal CR S1-action.

原文 ???core.languages.en_GB??? 1750094 Communications in Contemporary Mathematics 21 4 https://doi.org/10.1142/S0219199717500948 已出版 - 1 6月 2019

## 指紋

• ### 一些流形上的幾何不變量之研究(2/2)

Huang, R.

1/08/1731/07/18

研究計畫: Research