Published June 21, 2006
| Submitted + Published
Journal Article
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A note on knot Floer homology of links
- Creators
- Ni, Yi
Abstract
Ozsváth and Szabó proved that knot Floer homology determines the genera of knots in S^3. We will generalize this deep result to links in homology 3-spheres, by adapting their method. Our proof relies on a result of Gabai and some constructions related to foliations. We also interpret a theorem of Kauffman in the world of knot Floer homology, hence we can compute the top filtration term of the knot Floer homology for alternative links.
Additional Information
© 2006 Mathematical Science Publishers. Received: 11 June 2005. Revised: 6 January 2006. We are grateful to David Gabai, Peter Kronheimer and Zoltán Szabó for some helpful conversations. The author is partially supported by the Centennial fellowship of the Graduate School at Princeton UniversityAttached Files
Published - gt-v10-n2-p03-p.pdf
Submitted - 0506208v4.pdf
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Additional details
- Eprint ID
- 56830
- Resolver ID
- CaltechAUTHORS:20150421-115916774
- Princeton University Centennial Fellowship
- Created
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2015-04-21Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field