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Fintushel-Stern knot surgery in torus bundles

Ni, Yi (2017) Fintushel-Stern knot surgery in torus bundles. Journal of Topology, 10 (1). pp. 164-177. ISSN 1753-8416. doi:10.1112/topo.12002.

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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.
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:1
Classification Code:2010 Mathematics Subject Classification: 57M50, 57R17 (primary), 57M10 (secondary)
Record Number:CaltechAUTHORS:20170215-145039098
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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
Deposited By: Tony Diaz
Deposited On:15 Feb 2017 22:58
Last Modified:11 Nov 2021 05:26

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