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Abstract
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}KohnRossi cohomology with values in a rigid CR vector bundle over X. As a corollary, we obtain the Morse inequalities for Fourier components of KohnRossi cohomology on X which were obtained by Hsiao and Li (2016) by using Szegó kernel method.
Original language  English 

Pages (fromto)  439462 
Number of pages  24 
Journal  Pacific Journal of Mathematics 
Volume  304 
Issue number  2 
DOIs  
State  Published  2020 
Keywords
 CR manifold
 Heat kernel
 KohnRossi cohomology
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Dive into the research topics of 'Morse inequalities for fourier components of kohnrossi cohomology of CR covering manifolds with s^{1}action'. Together they form a unique fingerprint.Projects
 1 Finished

Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(2/2)
1/08/19 → 31/07/21
Project: Research