On geography of symplectic fillings of contact branched covers

In this paper, we determine the Euler characteristics and signatures of the exact symplectic fillings of the contact double, 3-fold or 4-fold cyclic covers of the standard contact 3-sphere branched over certain transverse quasipositive links. These links include all quasipositive knots with crossing numbers smaller than [Formula: see text] and all quasipositive links with crossing numbers smaller than [Formula: see text] and nonzero nullity.