Published April 2, 2006
| Published
Journal Article
Open
Sutured Heegaard diagrams for knots
- Creators
- Ni, Yi
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.
Additional Information
© 2006 Mathematical Sciences Publishers. Received: 22 July 2005. Revised: 13 January 2006. Accepted: 12 March 2006. Published: 2 April 2006. We are grateful to David Gabai, Jacob Rasmussen and Zoltán Szabó for many stimulating discussions and encouragements. We are especially grateful to the referee for a detailed list of corrections and suggestions. The author is partially supported by the Centennial fellowship of the Graduate School at Princeton University. Part of this work was carried out during a visit to Peking University; the author wishes to thank Shicheng Wang for his hospitality during the visit.Attached Files
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Additional details
- Eprint ID
- 56829
- Resolver ID
- CaltechAUTHORS:20150421-115913176
- Princeton University
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2015-04-21Created from EPrint's datestamp field
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2021-11-10Created from EPrint's last_modified field