Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR
  covering manifolds with $S^1$-action   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.

32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol