Incompressible surfaces in link complements

Ying-Qing Wu

Incompressible surfaces in link complements

Geometric Topology 2007-05-23 v1

Authors: Ying-Qing Wu

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 $L$ .

Keywords

surfaces and embeddings minimal surfaces convex geometry

Cite

@article{arxiv.math/0011006,
  title  = {Incompressible surfaces in link complements},
  author = {Ying-Qing Wu},
  journal= {arXiv preprint arXiv:math/0011006},
  year   = {2007}
}

Comments

7 pages, 3 figures. To appear in Proc. AMS

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