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Incompressible surfaces in link complements
Author(s):
Ying-Qing
Wu
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3417-3423.
MSC (1991):
Primary 57N10, 57M25
Posted:
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  has a  -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  .
References:
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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:
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
Posted:
April 2, 2001
Additional Notes:
The author was supported in part by NSF grant \#DMS 9802558.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2001,
American Mathematical Society
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