Knot Floer Filtration Classes of Topologically Slice Knots

Abstract

The knot Floer complex and the concordance invariant $\epsilon$ can be used to define a filtration on the smooth concordance group. We exhibit an ordered subset of this filtration that is isomorphic to $\mathbb{N}\times \mathbb{N}$ and consists of topologically slice knots.

22 pages, 1 figure