Flux homomorphism
= Flux homomorphism
{title2=$\operatorname{Flux}$}
For a symplectic isotopy generated by $X_t$, its flux is
$$
\operatorname{Flux}(\phi_t)=\left[\int_0^1\iota_{X_t}\omega\,dt\right]\in H^1(M;\mathbb R).
$$
It vanishes for a <Hamiltonian isotopy>.