  We derive symmetries and adjunction inequalities of the knot Floer homology
groups which appear to be especially interesting for homologically essential
knots. Furthermore, we obtain an adjunction inequality for cobordism maps in
knot Floer homologies. We demonstrate the adjunction inequalities and
symmetries in explicit calculations which recover some of the main results from
[1] on longitude Floer homology and also give rise to vanishing results on knot
Floer homologies. Furthermore, using symmetries we prove that the knot Floer
homology of a fiber distinguishes $\stwo\times\sone$ from other $\sone$-bundles
over surfaces.
