For a fibered knot K in Y with fiber F, rank r of hat HFK(Y,K,[F],g(F)-1;Z/2Z) implies the monodromy is freely isotopic to a map with at most r-1 fixed points.
Symplectic Geom
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Knot Floer homology and fixed points
For a fibered knot K in Y with fiber F, rank r of hat HFK(Y,K,[F],g(F)-1;Z/2Z) implies the monodromy is freely isotopic to a map with at most r-1 fixed points.