A note on knot Floer homology of links

Details A note on knot Floer homology of links A note on knot Floer homology of links

2005-06-10

arxiv.org/abs/math/0506208v4

Geom. Topol. 10 (2006) 695-713

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 21 June 2006 (V4: typesetting corrections)

Scientific paper

10.2140/gt.2006.10.695

Ozsvath and Szabo 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.

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