Sutured Heegaard diagrams for knots
Geometric Topology
2009-03-10 v2
Abstract
We define sutured Heegaard diagrams for null-homologous knots in 3-manifolds. These diagrams are useful for computing the knot Floer homology at the top filtration level. As an application, we give a formula for the knot Floer homology of a Murasugi sum. Our result echoes Gabai's earlier works. We also show that for so-called 'semifibred' satellite knots, the top filtration term of the knot Floer homology is isomorphic to the counterpart of the companion.
Keywords
Cite
@article{arxiv.math/0507440,
title = {Sutured Heegaard diagrams for knots},
author = {Yi Ni},
journal= {arXiv preprint arXiv:math/0507440},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 2 April 2006