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On the Kronheimer–Mrowka concordance invariant
Journal of Topology  (IF1.582),  Pub Date : 2020-11-24, DOI: 10.1112/topo.12175
Sherry Gong

Kronheimer and Mrowka introduced a new knot invariant, called s , which is a gauge theoretic analogue of Rasmussen's s invariant. In this article, we compute Kronheimer and Mrowka's invariant for some classes of knots, including algebraic knots and the connected sums of quasi‐positive knots with non‐trivial right‐handed torus knots. These computations reveal some unexpected phenomena: we show that s does not have to agree with s , and that s is not additive under connected sums of knots.