A note on knot Floer homology of links
Geometric Topology
2009-03-17 v4 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/0506208,
title = {A note on knot Floer homology of links},
author = {Yi Ni},
journal= {arXiv preprint arXiv:math/0506208},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 21 June 2006 (V4: typesetting corrections)