Knots which admit a surgery with simple knot Floer homology groups
Geometric Topology
2010-03-19 v1
Abstract
We show that if a positive integral surgery on a knot K inside a homology sphere X with Seifert genus g(K) results in an induced knot K_n in X_n(K)=Y which has simple Floer homology, we should have n>=2g(K). Moreover, if X is the standard sphere, the three-manifold Y is a L-space and the Heegaard Floer homology groups of K are determined by its Alexander polynomial.
Keywords
Cite
@article{arxiv.1003.3567,
title = {Knots which admit a surgery with simple knot Floer homology groups},
author = {Eaman Eftekhary},
journal= {arXiv preprint arXiv:1003.3567},
year = {2010}
}