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2006 Sutured Heegaard diagrams for knots
Yi Ni
Algebr. Geom. Topol. 6(2): 513-537 (2006). DOI: 10.2140/agt.2006.6.513

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.

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Yi Ni. "Sutured Heegaard diagrams for knots." Algebr. Geom. Topol. 6 (2) 513 - 537, 2006. https://doi.org/10.2140/agt.2006.6.513

Information

Received: 22 July 2005; Revised: 13 January 2006; Accepted: 12 March 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1103.57021
MathSciNet: MR2220687
Digital Object Identifier: 10.2140/agt.2006.6.513

Subjects:
Primary: 57M27, 57R58
Secondary: 53D40

Rights: Copyright © 2006 Mathematical Sciences Publishers

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