Analysis reveals Euler characteristics of symplectic fillings in quasipositive links, suggesting new insights in topology.
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 11 and all quasipositive links with crossing numbers smaller than 12 and nonzero nullity.
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Zhang Yuhe (2025) studied this question.
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