Published January 2017
| Submitted
Journal Article
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Fintushel-Stern knot surgery in torus bundles
- Creators
- Ni, Yi
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.
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.Attached Files
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Additional details
- Eprint ID
- 74336
- DOI
- 10.1112/topo.12002
- Resolver ID
- CaltechAUTHORS:20170215-145039098
- DMS-1103976
- NSF
- DMS-1252992
- NSF
- Alfred P. Sloan Foundation
- Created
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2017-02-15Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field