A note on the rank of Heegaard Floer homology
Geometric Topology
2013-11-06 v3 Symplectic Geometry
Abstract
We show that if K is a non-trivial knot inside a homology sphere Y, then the rank of knot Floer homology associated with K is strictly bigger than the rank of Heegaard Floer homology of Y.
Keywords
Cite
@article{arxiv.0803.0105,
title = {A note on the rank of Heegaard Floer homology},
author = {Eaman Eftekhary},
journal= {arXiv preprint arXiv:0803.0105},
year = {2013}
}
Comments
This paper has been withdrawn by the author. The surgery formulas are used incorrectly for proving the main result of the paper