Knot Floer Filtration Classes of Topologically Slice Knots

Authors :: Tobin, Joshua
Publication Year :: 2013
Abstract: The knot Floer complex and the concordance invariant $\varepsilon$ 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.<br />Comment: 22 pages, 1 figure