Mathematics – Geometric Topology
Scientific paper
2005-07-21
Algebr. Geom. Topol. 6 (2006) 513-537
Mathematics
Geometric Topology
This is the version published by Algebraic & Geometric Topology on 2 April 2006
Scientific paper
10.2140/agt.2006.6.513
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.
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