  In this note, we define the link spectral invariants by using the cylindrical
formulation of the quantitative Heegaard Floer homology. We call them HF
spectral invariants. We deduce a relation between the HF spectral invariants
and the PFH spectral invariants by using closed-open morphisms and open-closed
morphisms. For the sphere, we prove that the homogenized HF spectral invariants
at the unit are equal to the homogenized PFH spectral invariants. Moreover, we
show that the homogenized PFH spectral invariants are quasimorphisms.
