A note on the rank of Heegaard Floer homology

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.

arXiv commentThis paper has been withdrawn by the author. The surgery formulas are used incorrectly for proving the main result of the paper

References in corpus (1)

• Floer homology and existence of incompressible tori in homology spheres

Cited by in corpus (1)

• Splicing knot complements and bordered Floer homology