A note on knot Floer homology of links

Ni, Yi¹

¹ Department of Mathematics, Princeton University, Princeton, NJ 08544, USA

Geometry & topology, Tome 10 (2006) no. 2, pp. 695-713.

Résumé

Ozsváth and Szabó proved that knot Floer homology determines the genera of knots in $S^3$. We will generalize this deep result to links in homology 3–spheres, by adapting their method. Our proof relies on a result of Gabai and some constructions related to foliations. We also interpret a theorem of Kauffman in the world of knot Floer homology, hence we can compute the top filtration term of the knot Floer homology for alternative links.

Détail

DOI : 10.2140/gt.2006.10.695

Keywords: knot Floer homology, links, homology 3–sphere, maximal Euler characteristic, taut foliations, alternative links

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