Morse inequalities for fourier components of kohn-rossi cohomology of CR covering manifolds with s1-action

Rung Tzung Huang, Guokuan Shao

研究成果: 雜誌貢獻期刊論文同行評審

摘要

Let X be a compact connected CR manifold of dimension 2n+1, n ≥ 1. Let X be a paracompact CR manifold with a transversal CR S1-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 S1-action, we establish the Morse inequalities for Fourier components of reduced L2-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???
頁(從 - 到)439-462
頁數24
期刊Pacific Journal of Mathematics
304
發行號2
DOIs
出版狀態已出版 - 2020

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