Peter Ozsvath, Andras Stipsicz, Zoltan Szabo
Published 2014-07-07, updated 2014-11-13Version 2
We modify the construction of knot Floer homology to produce a one-parameter family of homologies for knots in the three-sphere. These invariants can be used to give homomorphisms from the smooth concordance group to the integers, giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.
Comments: Minor revisions, corrected typos and Conjectures 1.23 and 1.24
Knot Floer homology and the four-ball genus
Rank Inequalities on Knot Floer Homology of Periodic Knots
A combinatorial description of knot Floer homology
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