Morse-Novikov homology and $\beta$-critical points

Adrien Currier

Given a manifold $M$, some closed $\beta \in {\Omega }^1(M)$ and a map $f\in C^{\infty }(M)$, a $\beta$-critical point is some $x\in M$ such that $d_{\beta }{f}_x=0$ for the Lichnerowicz derivative $d_{\beta }$. In…