Topological triviality of smoothly knotted surfaces in $4$-manifolds
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- by Hee Jung Kim and Daniel Ruberman PDF
- Trans. Amer. Math. Soc. 360 (2008), 5869-5881 Request permission
Abstract:
Some generalizations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements are standard, then these surfaces are topologically unknotted.References
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Additional Information
- Hee Jung Kim
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918
- Email: heekim@lsu.edu
- Daniel Ruberman
- Affiliation: Department of Mathematics, MS 050, Brandeis University, Waltham, Massachusetts 02454
- Email: ruberman@brandeis.edu
- Received by editor(s): October 4, 2006
- Published electronically: June 26, 2008
- Additional Notes: The second author was partially supported by NSF Grant 0505605.
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 5869-5881
- MSC (2000): Primary 57R57
- DOI: https://doi.org/10.1090/S0002-9947-08-04482-6
- MathSciNet review: 2425695