Ni, Yi (2017) Fintushel-Stern knot surgery in torus bundles. Journal of Topology, 10 (1). pp. 164-177. ISSN 1753-8416. https://resolver.caltech.edu/CaltechAUTHORS:20170215-145039098
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Abstract
Suppose that X is a torus bundle over a closed surface with homologically essential fibers. Let X_K be the manifold obtained by Fintushel–Stern knot surgery on a fiber using a knot K⊂S^3. We prove that X_K has a symplectic structure if and only if K is a fibered knot. The proof uses Seiberg–Witten theory and a result of Friedl–Vidussi on twisted Alexander polynomials.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 2017 London Mathematical Society. Received 4 December 2015; revised 15 September 2016; published online 15 February 2017. The author was partially supported by NSF grant numbers DMS-1103976, DMS-1252992, and an Alfred P. Sloan Research Fellowship. | ||||||||||||
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| Issue or Number: | 1 | ||||||||||||
| Classification Code: | 2010 Mathematics Subject Classification: 57M50, 57R17 (primary), 57M10 (secondary) | ||||||||||||
| Record Number: | CaltechAUTHORS:20170215-145039098 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170215-145039098 | ||||||||||||
| Official Citation: | Ni, Y. (2017), Fintushel–Stern knot surgery in torus bundles. Journal of Topology, 10: 164–177. doi:10.1112/topo.12002 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 74336 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 15 Feb 2017 22:58 | ||||||||||||
| Last Modified: | 03 Oct 2019 16:37 |
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