Concordance invariants of doubled knots and blowing up

Se-Goo Kim, Kwan Yong Lee

Let $\nu$ be either the Ozsváth-Szabó $\tau$-invariant or the Rasmussen $s$-invariant, suitably normalized. For a knot $K$, Livingston and Naik defined the invariant $t_{\nu }(K)$ to be the…