Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 149, Issue 4, Pages 1757-1771Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/15212
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Funding
- NSF [DMS-1606451]
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We calculate 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. Furthermore, we show that a knot concordance invariant of Hom can be alternatively defined in terms of filtered maps on the Heegaard Floer homology groups induced by the two-handle attachment cobordism of surgery along a knot.
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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