Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with $S^1$-action

Rung-Tzung Huang, Guokuan Shao

Let $X$ be a compact connected CR manifold of dimension $2n+1,n\ge 1$. Let $\tilde{X}$ be a paracompact CR manifold with a transversal CR $S^1$-action, such that there is a…