  We prove a version of the Arnol'd conjecture for Lagrangian submanifolds of
conformal symplectic manifolds: a Lagrangian $L$ which has non-zero
Morse-Novikov homology for the restriction of the Lee form $\beta$ cannot be
disjoined from itself by a $C^0$-small Hamiltonian isotopy. Furthermore for
generic such isotopies the number of intersection points equals at least the
sum of the free Betti numbers of the Morse-Novikov homology of $\beta$. We also
give a short exposition of conformal symplectic geometry, aimed at readers who
are familiar with (standard) symplectic or contact geometry.
