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arxiv: 1309.1999 · v1 · submitted 2013-09-08 · 🧮 math.GT

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Knot Floer Filtration Classes of Topologically Slice Knots

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keywords filtrationconcordancefloerknotknotsmathbbslicetopologically
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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.

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