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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. 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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1112/topo.12002DOIArticle
http://onlinelibrary.wiley.com/doi/10.1112/topo.12002/abstractPublisherArticle
https://arxiv.org/abs/1510.07715arXivDiscussion Paper
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.
Funders:
Funding AgencyGrant Number
NSFDMS-1103976
NSFDMS-1252992
Alfred P. Sloan FoundationUNSPECIFIED
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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