Published June 2012
| Submitted
Journal Article
Open
On mapping cones of Seifert fibered surgeries
- Creators
- Wu, Zhongtao
Chicago
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Abstract
Using the mapping cone of a rational surgery, we give several obstructions for Seifert-fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot. These generalize the corresponding results in Kronheimer, Mrowka, Ozsváth and Szabó ['Monopoles and lens space surgeries', Ann. Math. (2) 165 (2007) 457–546] and Ozsváth and Szabó [On Heegaard Floer homology and Seifert fibered surgeries, Geometry and Topology Monographs 7 (Geometry and Topology Publications, Coventry, 2004)].
Additional Information
© 2012 London Mathematical Society. Received 15 November 2011. The author was supported by a Simons Postdoctoral Fellowship. I wish to thank Zoltán Szabό, Yi Ni, Paul Kirk and Charles Livingston for interesting discussions on this project. I am especially grateful to Yi for inspiring me with the idea of looking at the size of the surgery coefficient p/q, as well as his help on several technical difficulties in this article.Attached Files
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Additional details
- Eprint ID
- 32276
- Resolver ID
- CaltechAUTHORS:20120706-091608193
- Simons Postdoctoral Fellowship
- Created
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2012-07-06Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field