6 problems

Morse-Novikov additivity conjecture. One should have

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…

Seiberg–Witten Taubes orbit counting conjecture.

Subadditivity conjecture. The Morse–Novikov number should satisfy

A-cone conjecture. For every natural number $k$, the set $\Gamma_k$ is an A-cone.