A note on knot Floer homology of links
Abstract
Ozsvath and Szabo proved that knot Floer homology determines the genera of knots in S3. 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.
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