2012/03/20 by Hom, Jennifer
#57M25 #57N70 #57R58 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1203.4594
The concordance genus of a knot K is the minimum Seifert genus of all knots smoothly concordant to K. Concordance genus is bounded below by the 4-ball genus and above by the Seifert genus. We give a lower bound for the concordance genus of K coming from the knot Floer complex of K. As an application, we prove that there are topologically slice knots with 4-ball genus equal to one and arbitrarily large concordance genus.