Incompressible surfaces in link complements

Wu, Ying-Qing

doi:10.1090/S0002-9939-01-05938-X

Incompressible surfaces in link complements
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by Ying-Qing Wu PDF

Proc. Amer. Math. Soc. 129 (2001), 3417-3423 Request permission

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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