On the concordance genus of topologically slice knots

Details On the concordance genus of topologically slice knots On the concordance genus of topologically slice knots

2012-03-20

arxiv.org/abs/1203.4594v1

Mathematics

Geometric Topology

10 pages, 2 figures, 1 table

Scientific paper

The concordance genus of a knot K is the minimum three-genus of all knots
smoothly concordant to K. 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.

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