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- W3099697093 abstract "Let $X$ be a compact connected CR manifold of dimension $2n+1, n geq 1$. Let $widetilde{X}$ be a paracompact CR manifold with a transversal CR $S^1$-action, such that there is a discrete group $Gamma$ acting freely on $widetilde{X}$ having $X , = , widetilde{X}/Gamma$. 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 $widetilde{X}$. As a corollary, we obtain the Morse inequalities for Fourier components of Kohn-Rossi cohomology on $X$ which were obtained by Hsiao-Li by using Szeg{o} kernel method." @default.
- W3099697093 created "2020-11-23" @default.
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- W3099697093 date "2020-02-12" @default.
- W3099697093 modified "2023-09-25" @default.
- W3099697093 title "Morse inequalities for Fourier components of Kohn–Rossi cohomology of CR covering manifolds with S1-action" @default.
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- W3099697093 doi "https://doi.org/10.2140/pjm.2020.304.439" @default.
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