Geodesic
Knot Floer homology obstructs ribbon concordance
Ian Zemke1
1 Princeton University Princeton, NJ
Annals of mathematics, Tome 190 (2019) no. 3, pp. 931-947

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We prove that the map on knot Floer homology induced by a ribbon concordance is injective. As a consequence, we prove that the Seifert genus is monotonic under ribbon concordance. Generalizing theorems of Gabai and Scharlemann, we also prove that the Seifert genus is super-additive under band connected sums of arbitrarily many knots. Our results give evidence for a conjecture of Gordon that ribbon concordance is a partial order on the set of knots.

DOI : 10.4007/annals.2019.190.3.5

Ian Zemke 1

1 Princeton University Princeton, NJ 
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Ian Zemke. Knot Floer homology obstructs ribbon concordance. Annals of mathematics, Tome 190 (2019) no. 3, pp. 931-947. doi: 10.4007/annals.2019.190.3.5

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