Geodesic
Sutured Heegaard diagrams for knots
Ni, Yi1
1Department of Mathematics, Princeton University, Princeton, NJ 08544, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 2, pp. 513-537
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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.

DOI : 10.2140/agt.2006.6.513
Keywords: knot Floer homology, sutured Heegaard diagram, Murasugi sum, semifibred satellite knot

Ni, Yi  1

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, USA 
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Ni, Yi. Sutured Heegaard diagrams for knots. Algebraic and Geometric Topology, Tome 6 (2006) no. 2, pp. 513-537. doi: 10.2140/agt.2006.6.513

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