4-genus bounds from the 10/8+4 theorem

Abstract: Donald and Vafaee described a way to use Furuta's 10/8 theorem to obstruct sliceness in the 4-ball. Throung used a refinement, the 10/8+4 theorem  of Hopkins-Lin-Shi and Hu to strengthen this sliceness obstruction. We will show how to expand this technique to obtain lower bounds for four-ball genus and present some calculations for satellite knots. This is joint work in progress with Sashka Kjuchukova and Linh Troung.