Incompressible surfaces in link complements
classification
🧮 math.GT
keywords
surfacesessentiallinkcasescertainclosedcomplementcomplements
read the original 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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