每年專案

## 摘要

Let X be a compact connected CR manifold of dimension 2_{n}+1, n ≥ 1. Let X be a paracompact CR manifold with a transversal CR S^{1}-action, such that there is a discrete group Γ acting freely on X having X = X=Γ. Based on an asymptotic formula for the Fourier components of the heat kernel with respect to the S^{1}-action, we establish the Morse inequalities for Fourier components of reduced L^{2}-Kohn-Rossi cohomology with values in a rigid CR vector bundle over X. As a corollary, we obtain the Morse inequalities for Fourier components of Kohn-Rossi cohomology on X which were obtained by Hsiao and Li (2016) by using Szegó kernel method.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 439-462 |

頁數 | 24 |

期刊 | Pacific Journal of Mathematics |

卷 | 304 |

發行號 | 2 |

DOIs | |

出版狀態 | 已出版 - 2020 |

## 指紋

深入研究「Morse inequalities for fourier components of kohn-rossi cohomology of CR covering manifolds with s^{1}-action」主題。共同形成了獨特的指紋。

## 專案

- 1 已完成