Knots in homology spheres which have simple knot Floer homology are trivial
arXiv:1003.0737
Abstract
We show that if K is a non-trivial knot inside a homology sphere X, the rank of the knot Floer homology group associated with K is strictly bigger than the rank of the Heegaard Floer homology group associated with X.
This paper has been withdrawn by the author. The surgery formulas are used incorrectly for obtaining the main result of the paper