A refinement of the Ozsv\'ath-Szab\'o large integer surgery formula and knot concordance

Linh Truong

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arXiv · 1904.00288

A refinement of the Ozsv\'ath-Szab\'o large integer surgery formula and knot concordance

Linh Truong

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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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Linh Truong. 2019-03-30. A refinement of the Ozsv\'ath-Szab\'o large integer surgery formula and knot concordance. https://arxiv.org/abs/1904.00288

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