3 problems

Let $f:M\to S^1$ be a Morse map and let $v$ be a generic $f$-gradient satisfying the Transversality Condition. The associated Novikov complex $\mathcal C_*(v)$ is a free based chai…

Let $M$ be a closed smooth manifold and let $\omega$ be a closed $1$-form on $M$. Let $\operatorname{Nov}$ denote the Novikov ring associated with the cohomology class represented…

Let $L$ be a link, let $C_L$ be its exterior, and let $\xi:\pi_1C_L\to\mathbf{Z}$ be the homomorphism sending each meridian generator to $1$. Let $\Lambda$ be the group ring of…