On the 3-dimensional invariant for cyclic contact branched coverings (Q729825)

In this paper, for a cyclic contact branched covering \((M,\xi)\) of the standard contact 3-sphere \(S^3\), the author gives a direct formula of the 3-dimensional invariant \(d_3(\xi)\) in terms of the branch locus \(K\). As a consequence, the author gives a lower bound of \(d_3(\xi)\) by using the smooth 4-genus \(g_4(K)\) of branch locus \(K\).