  If $K$ is a fibered knot in a closed, oriented $3$--manifold $Y$ with fiber
$F$, and $\widehat{HFK}(Y,K,[F], g(F)-1;\mathbb Z/2\mathbb Z)$ has rank $r$,
then the monodromy of $K$ is freely isotopic to a diffeomorphism with at most
$r-1$ fixed points. This generalizes earlier work of Baldwin--Hu--Sivek and Ni.
  We also clarify a misleading formula in Cotton-Clay's computation of the
symplectic Floer homology of mapping classes of surfaces.
