Sutured Heegaard diagrams for knots

Ni, Yi

doi:10.2140/agt.2006.6.513

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Sutured Heegaard diagrams for knots

Yi Ni

Algebraic & Geometric Topology 6 (2006) 513–537

DOI: 10.2140/agt.2006.6.513

arXiv: math.GT/0507440

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

knot Floer homology, sutured Heegaard diagram, Murasugi sum, semifibred satellite knot

Mathematical Subject Classification 2000

Primary: 57R58, 57M27

Secondary: 53D40

References

Forward citations

Publication

Received: 22 July 2005

Revised: 13 January 2006

Accepted: 12 March 2006

Published: 2 April 2006

Authors

Yi Ni
Department of Mathematics Princeton University Princeton NJ 08544 USA

Volume 6, issue 2 (2006)