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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Incompressible surfaces in link complements


Author: Ying-Qing Wu
Journal: Proc. Amer. Math. Soc. 129 (2001), 3417-3423
MSC (1991): Primary 57N10, 57M25
Published electronically: April 2, 2001
MathSciNet review: 1845021
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Abstract:

We generalize a theorem of Finkelstein and Moriah and show that if a link $L$ has a $2n$-plat projection satisfying certain conditions, then its complement contains some closed essential surfaces. In most cases these surfaces remain essential after any totally nontrivial surgery on $L$.


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Additional Information

Ying-Qing Wu
Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Email: wu@math.uiowa.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05938-X
PII: S 0002-9939(01)05938-X
Keywords: Incompressible surfaces, $2n$-plat projections, Dehn surgery
Received by editor(s): February 22, 2000
Received by editor(s) in revised form: March 27, 2000
Published electronically: April 2, 2001
Additional Notes: The author was supported in part by NSF grant #DMS 9802558.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2001 American Mathematical Society