3 problems

Farber's rationality conjecture. The rationality property holds for every Morse--Novikov pair $(f,v)$; that is, for every such $p,q$, the Laurent series $n(\bar p,\bar q;v)$ is the…

Let $M$ be a compact manifold, let $f:M\to S^1$ be a Morse map, and let $v$ be an $f$-gradient satisfying the transversality condition. For critical points $p,q\in S(f)$ with…

Let $\omega$ be a Morse form on a closed manifold, let $v$ be an $\omega$-gradient, and let $p:M'\to M$ be a free abelian covering such that $p^*\omega=df$ for a function…