Wu, Zhongtao (2012) On mapping cones of Seifert fibered surgeries. Journal of Topology, 5 (2). pp. 366-376. ISSN 1753-8416 http://resolver.caltech.edu/CaltechAUTHORS:20120706-091608193
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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)].
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| 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. | ||||
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| Classification Code: | 2010 Mathematics Subject Classification 57M25 (primary) | ||||
| Record Number: | CaltechAUTHORS:20120706-091608193 | ||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20120706-091608193 | ||||
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| Official Citation: | Zhongtao Wu On mapping cones of Seifert fibered surgeries J Topology (2012) 5(2): 366-376 doi:10.1112/jtopol/jts008 | ||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 32276 | ||||
| Collection: | CaltechAUTHORS | ||||
| Deposited By: | Ruth Sustaita | ||||
| Deposited On: | 06 Jul 2012 16:49 | ||||
| Last Modified: | 06 Jul 2012 16:49 |
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