Abstract:We compute the knot Floer filtration induced by a cable of the meridian of a knot in the manifold obtained by large integer surgery along the knot. We give a formula in terms of the original knot Floer complex of the knot in the three-sphere. As an application, we show that a knot concordance invariant of Hom can equivalently be defined in terms of filtered maps on the Heegaard Floer homology groups induced by the two-handle attachment cobordism of surgery along a knot.

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中文翻译：

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Ozsváth-Szabó大整数外科公式和结一致性的改进

摘要：我们计算了通过大整数整形术沿结所获得的歧管中的结子午线的电缆所引起的结Floer滤波。我们根据三球中结的原始结Floer复杂度给出一个公式。作为一个应用，我们表明，Hom的结节一致不变性可以等效地由沿结节的两柄附着外科手术引起的Heegaard Floer同源性组上的过滤图定义。

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