  Floer theory relates the dynamics of Hamiltonian isotopies and the homology
of the ambient manifold. It was extended to similarly relate the dynamics of
symplectic isotopies and the Novikov homology associated to their flux. We
discuss this picture regarding the fundamental group, and prove that when the
flux is not too big, the associated Novikov fundamental group is generated by
Floer moduli spaces associated to closed orbits of the symplectic isotopy.
